AMC 8 1994 Problem 25

Find the sum of the digits in the answer to $\underbrace{9999\cdots 99}_{94\text{ nines}} \times \underbrace{4444\cdots 44}_{94\text{ fours}}$ where a string of $94$ nines is multiplied by a string of $94$ fours. $\text{(A)}\ 846 \text{(B)}\ 855 \text{(C)}\ 945 \text{(D)}\ 954 \text{(E)}\ 1072$