4004010104004 has 72 divisors (see below), whose sum is σ = 10130117437440. Its totient is φ = 1333500857472.

The previous prime is 4004010103979. The next prime is 4004010104033.

4004010104004 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4004010104004² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382897144 + ... + 382907600.

It is an arithmetic number, because the mean of its divisors is an integer number (140696075520).

Almost surely, 2^{4004010104004} is an apocalyptic number.

It is an amenable number.

4004010104004 is an abundant number, since it is smaller than the sum of its proper divisors (6126107333436).

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

4004010104004 is a wasteful number, since it uses less digits than its factorization.

4004010104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18769 (or 18764 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 4004010 and 104004, that added together give a palindrome (4108014).

The spelling of 4004010104004 in words is "four trillion, four billion, ten million, one hundred four thousand, four".