4004210124004 has 12 divisors (see below), whose sum is σ = 7312035878784. Its totient is φ = 1915057015784.

The previous prime is 4004210123989. The next prime is 4004210124007.

4004210124004 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4004210124004² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4004210124007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21762011452 + ... + 21762011635.

It is an arithmetic number, because the mean of its divisors is an integer number (609336323232).

Almost surely, 2^{4004210124004} is an apocalyptic number.

It is an amenable number.

4004210124004 is a deficient number, since it is larger than the sum of its proper divisors (3307825754780).

4004210124004 is a wasteful number, since it uses less digits than its factorization.

4004210124004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43524023114 (or 43524023112 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 4004210 and 124004, that added together give a palindrome (4128214).

The spelling of 4004210124004 in words is "four trillion, four billion, two hundred ten million, one hundred twenty-four thousand, four".