4004113656 has 128 divisors (see below), whose sum is σ = 10973548800. Its totient is φ = 1213056000.

The previous prime is 4004113613. The next prime is 4004113699. The reversal of 4004113656 is 6563114004.

It is an interprime number because it is at equal distance from previous prime (4004113613) and next prime (4004113699).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230031 + ... + 1233281.

It is an arithmetic number, because the mean of its divisors is an integer number (85730850).

Almost surely, 2^4004113656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004113656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486774400).

4004113656 is an abundant number, since it is smaller than the sum of its proper divisors (6969435144).

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

4004113656 is a wasteful number, since it uses less digits than its factorization.

4004113656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4004113656 is about 63278.0661524987. The cubic root of 4004113656 is about 1587.9450340197.

The spelling of 4004113656 in words is "four billion, four million, one hundred thirteen thousand, six hundred fifty-six".