4099904557056 has 1664 divisors, whose sum is σ = 16024646983680. Its totient is φ = 1012721909760.

The previous prime is 4099904557039. The next prime is 4099904557129. The reversal of 4099904557056 is 6507554099904.

4099904557056 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 9 + 0 + 4 + 5 + 570 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4099904556984 and 4099904557002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23698870186 + ... + 23698870358.

Almost surely, 2^{4099904557056} is an apocalyptic number.

4099904557056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4099904557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012323491840).

4099904557056 is an abundant number, since it is smaller than the sum of its proper divisors (11924742426624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4099904557056 is a wasteful number, since it uses less digits than its factorization.

4099904557056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 4099904557056 in words is "four trillion, ninety-nine billion, nine hundred four million, five hundred fifty-seven thousand, fifty-six".