diff --git a/src/Magnum/Trade/MeshData.h b/src/Magnum/Trade/MeshData.h
index f870222a2..ece42a4f1 100644
--- a/src/Magnum/Trade/MeshData.h
+++ b/src/Magnum/Trade/MeshData.h
@@ -448,11 +448,12 @@ class MAGNUM_TRADE_EXPORT MeshAttributeData {
          * @param arraySize Array size. Use @cpp 0 @ce for non-array
          *      attributes.
          *
-         * Expects that @p data stride fits into a signed 16-bit value, and for
-         * builtin attributes that @p format corresponds to @p name,
-         * @p arraySize is either zero for non-array attributes or non-zero for
-         * array attributes. The stride can be zero or negative, but note that
-         * such data layouts are not commonly supported by GPU APIs.
+         * Expects that @p data stride fits into a signed 16-bit value, that
+         * vertex count fits into 32 bits, and for builtin attributes that
+         * @p format corresponds to @p name, @p arraySize is either zero for
+         * non-array attributes or non-zero for array attributes. The stride
+         * can be zero or negative, but note that such data layouts are not
+         * commonly supported by GPU APIs.
          */
         explicit MeshAttributeData(MeshAttribute name, VertexFormat format, const Containers::StridedArrayView1D<const void>& data, UnsignedShort arraySize = 0) noexcept;
 
@@ -2429,7 +2430,12 @@ constexpr MeshAttributeData::MeshAttributeData(std::nullptr_t, const MeshAttribu
     _format{format},
     _name{(CORRADE_CONSTEXPR_ASSERT(Implementation::isVertexFormatCompatibleWithAttribute(name, format),
         "Trade::MeshAttributeData:" << format << "is not a valid format for" << name), name)},
-    _isOffsetOnly{false}, _vertexCount{UnsignedInt(data.size())},
+    _isOffsetOnly{false},
+    _vertexCount{(
+        #ifndef CORRADE_TARGET_32BIT
+        CORRADE_CONSTEXPR_ASSERT(data.size() <= 0xffffffffu, "Trade::MeshAttributeData: expected vertex count to fit into 32 bits but got" << data.size()),
+        #endif
+        UnsignedInt(data.size()))},
     _stride{(CORRADE_CONSTEXPR_ASSERT(data.stride() >= -32768 && data.stride() <= 32767,
         "Trade::MeshAttributeData: expected stride to fit into 16 bits but got" << data.stride()),
         Short(data.stride()))},
diff --git a/src/Magnum/Trade/Test/MeshDataTest.cpp b/src/Magnum/Trade/Test/MeshDataTest.cpp
index ba042b7a2..67e882938 100644
--- a/src/Magnum/Trade/Test/MeshDataTest.cpp
+++ b/src/Magnum/Trade/Test/MeshDataTest.cpp
@@ -75,6 +75,9 @@ struct MeshDataTest: TestSuite::Tester {
     void constructAttributeOffsetOnly();
     void constructAttributeImplementationSpecificFormat();
     void constructAttributeWrongFormat();
+    #ifndef CORRADE_TARGET_32BIT
+    void constructAttributeWrongSize();
+    #endif
     void constructAttributeWrongStride();
     void constructAttributeWrongDataAccess();
     void constructAttributeOnlyArrayAllowed();
@@ -262,6 +265,9 @@ MeshDataTest::MeshDataTest() {
               &MeshDataTest::constructAttributeOffsetOnly,
               &MeshDataTest::constructAttributeImplementationSpecificFormat,
               &MeshDataTest::constructAttributeWrongFormat,
+              #ifndef CORRADE_TARGET_32BIT
+              &MeshDataTest::constructAttributeWrongSize,
+              #endif
               &MeshDataTest::constructAttributeWrongStride,
               &MeshDataTest::constructAttributeWrongDataAccess,
               &MeshDataTest::constructAttributeOnlyArrayAllowed,
@@ -992,6 +998,23 @@ void MeshDataTest::constructAttributeWrongFormat() {
         "Trade::MeshAttributeData: VertexFormat::Vector2 is not a valid format for Trade::MeshAttribute::Color\n");
 }
 
+#ifndef CORRADE_TARGET_32BIT
+void MeshDataTest::constructAttributeWrongSize() {
+    CORRADE_SKIP_IF_NO_ASSERT();
+
+    /* This should be fine */
+    MeshAttributeData{MeshAttribute::Position, Containers::ArrayView<Vector2>{nullptr, 0xffffffffu}};
+
+    std::ostringstream out;
+    Error redirectError{&out};
+    MeshAttributeData{MeshAttribute::Position, Containers::ArrayView<Vector2>{nullptr, 0x100000000ull}};
+    /* The offset-only constructors takes the count as an UnsignedInt already,
+       nothing to check there */
+    CORRADE_COMPARE(out.str(),
+        "Trade::MeshAttributeData: expected vertex count to fit into 32 bits but got 4294967296\n");
+}
+#endif
+
 void MeshDataTest::constructAttributeWrongStride() {
     CORRADE_SKIP_IF_NO_ASSERT();