hyperfactorial

Noun

 * 1)  The result of multiplying a given number of consecutive integers from 1 to the given number, each raised to its own power. For example, the hyperfactorial of 3 is 11 * 22 * 33 = 1 * 4 * 27 = 108

Usage notes
The concept can be extended to the (real and) complex numbers and is then called the K-function.