4004004004004 has 48 divisors (see below), whose sum is σ = 7436798810112. Its totient is φ = 1883191680000.

The previous prime is 4004004004001. The next prime is 4004004004009.

4004004004004 is nontrivially palindromic in base 10.

4004004004004 is a modest number, since divided by 4004004 gives 4004 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4004004004001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75317 + ... + 2830844.

It is an arithmetic number, because the mean of its divisors is an integer number (154933308544).

Almost surely, 2^{4004004004004} is an apocalyptic number.

It is an amenable number.

4004004004004 is a deficient number, since it is larger than the sum of its proper divisors (3432794806108).

4004004004004 is a wasteful number, since it uses less digits than its factorization.

4004004004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906508 (or 2906506 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The spelling of 4004004004004 in words is "four trillion, four billion, four million, four thousand, four", and thus it is an eban number.