4004000904 has 16 divisors (see below), whose sum is σ = 10010002320. Its totient is φ = 1334666960.

The previous prime is 4004000863. The next prime is 4004000921. The reversal of 4004000904 is 4090004004.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83416662 + ... + 83416709.

It is an arithmetic number, because the mean of its divisors is an integer number (625625145).

Almost surely, 2^4004000904 is an apocalyptic number.

It is an amenable number.

4004000904 is an abundant number, since it is smaller than the sum of its proper divisors (6006001416).

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

4004000904 is a wasteful number, since it uses less digits than its factorization.

4004000904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166833380 (or 166833376 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4004000904 is about 63277.1752214019. The cubic root of 4004000904 is about 1587.9301288768.

Adding to 4004000904 its reverse (4090004004), we get a palindrome (8094004908).

The spelling of 4004000904 in words is "four billion, four million, nine hundred four", and thus it is an aban number.