4008404484004 has 24 divisors (see below), whose sum is σ = 7272756099000. Its totient is φ = 1930782013440.

The previous prime is 4008404483983. The next prime is 4008404484013. The reversal of 4008404484004 is 4004844048004.

It can be written as a sum of positive squares in 4 ways, for example, as 1249476840000 + 2758927644004 = 1117800^2 + 1661002^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38428107 + ... + 38532274.

It is an arithmetic number, because the mean of its divisors is an integer number (303031504125).

Almost surely, 2^{4008404484004} is an apocalyptic number.

It is an amenable number.

4008404484004 is a deficient number, since it is larger than the sum of its proper divisors (3264351614996).

4008404484004 is a wasteful number, since it uses less digits than its factorization.

4008404484004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76960863 (or 76960861 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 4008404484004 in words is "four trillion, eight billion, four hundred four million, four hundred eighty-four thousand, four".