4008084400804 has 24 divisors (see below), whose sum is σ = 7651871998848. Its totient is φ = 1821838806240.

The previous prime is 4008084400783. The next prime is 4008084400813. The reversal of 4008084400804 is 4080044808004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4831674 + ... + 5600110.

It is an arithmetic number, because the mean of its divisors is an integer number (318827999952).

Almost surely, 2^{4008084400804} is an apocalyptic number.

4008084400804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4008084400804 is a deficient number, since it is larger than the sum of its proper divisors (3643787598044).

4008084400804 is a wasteful number, since it uses less digits than its factorization.

4008084400804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886995 (or 886993 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 4008084400804 in words is "four trillion, eight billion, eighty-four million, four hundred thousand, eight hundred four".