4004214124004 has 12 divisors (see below), whose sum is σ = 7038797923584. Its totient is φ = 1993129002984.

The previous prime is 4004214123967. The next prime is 4004214124007.

4004214124004 is nontrivially palindromic in base 10.

4004214124004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4004214124007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2244513752 + ... + 2244515535.

It is an arithmetic number, because the mean of its divisors is an integer number (586566493632).

Almost surely, 2^{4004214124004} is an apocalyptic number.

It is an amenable number.

4004214124004 is a deficient number, since it is larger than the sum of its proper divisors (3034583799580).

4004214124004 is a wasteful number, since it uses less digits than its factorization.

4004214124004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489029514 (or 4489029512 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The spelling of 4004214124004 in words is "four trillion, four billion, two hundred fourteen million, one hundred twenty-four thousand, four".