8004440444008 has 64 divisors (see below), whose sum is σ = 15331955310720. Its totient is φ = 3916796083200.

The previous prime is 8004440444003. The next prime is 8004440444009.

8004440444008 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8004440444003) 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, 184876843 + ... + 184920133.

It is an arithmetic number, because the mean of its divisors is an integer number (239561801730).

Almost surely, 2^{8004440444008} is an apocalyptic number.

It is an amenable number.

8004440444008 is a deficient number, since it is larger than the sum of its proper divisors (7327514866712).

8004440444008 is a wasteful number, since it uses less digits than its factorization.

8004440444008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45818 (or 45814 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

It can be divided in two parts, 8004440 and 444008, that added together give a palindrome (8448448).

The spelling of 8004440444008 in words is "eight trillion, four billion, four hundred forty million, four hundred forty-four thousand, eight".