Big Numbers Make Me Cry

What is the remainder when 2028!2028! is divided by 20292029?

Details and assumptions

The factorial of a positive integer nn, denoted by n!n!, is the product of all positive inegers less than or equal to nn. For example, 5!=5×4×3×2×1=1205! = 5 \times 4 \times 3 \times 2 \times 1 = 120.

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