4004404104113 has 24 divisors (see below), whose sum is σ = 4784582823552. Its totient is φ = 3339230124384.

The previous prime is 4004404104097. The next prime is 4004404104143. The reversal of 4004404104113 is 3114014044004.

It is not a de Polignac number, because 4004404104113 - 2⁴ = 4004404104097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4004404104143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17959370 + ... + 18180972.

It is an arithmetic number, because the mean of its divisors is an integer number (199357617648).

Almost surely, 2^{4004404104113} is an apocalyptic number.

It is an amenable number.

4004404104113 is a deficient number, since it is larger than the sum of its proper divisors (780178719439).

4004404104113 is a wasteful number, since it uses less digits than its factorization.

4004404104113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231621 (or 231614 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4004404104113 its reverse (3114014044004), we get a palindrome (7118418148117).

The spelling of 4004404104113 in words is "four trillion, four billion, four hundred four million, one hundred four thousand, one hundred thirteen".