What is the perfect square nearest to 5040?

We can write 5040 as:

5040 = 7 × 8 × 9 × 10

We know that, if 1 is added to the product of four consecutive integers then the resulting number is a perfect square.

The number 5040 is a product of four consecutive integers. Now, if we add 1 to 5040, we get a perfect square.

Thus, the perfect square nearest to 5040 is 5040 + 1 = 5041.