there is a four digit number,and it is equal to the sum of the four numbers to power four , what is the number

The number has to be a perfect power of 4 and have 4 digits so

$${{\mathtt{4}}}^{{\mathtt{4}}} = {\mathtt{256}}$$

$${{\mathtt{5}}}^{{\mathtt{4}}} = {\mathtt{625}}$$

$${{\mathtt{6}}}^{{\mathtt{4}}} = {\mathtt{1\,296}}$$

$${{\mathtt{7}}}^{{\mathtt{4}}} = {\mathtt{2\,401}}$$     2+1+4=7

So that wasn't so hard to find was it ?

2401  =  (2 + 4 + 1 + 0)⁴