A new type of function!

Hyperfactorial is defined as: $\LARGE H(n)=\prod_{k=1}^n k^k$ Putting $n=4$ we get, $\Large H(4)=1^1\cdot 2^2\cdot 3^3\cdot 4^4$ $\Large =2^{10}\cdot 27=\huge\boxed{27648}$

The hyperfactorial function is defined as $\large H(n) = \prod^{n}_{i = 1} i^i = 1^1 \cdot 2^2 \cdot 3^3 \cdot 4^4 \cdot \ldots \cdot n^n$ . Thus, $H(4) = 27648$ .