8004004004444 has 12 divisors (see below), whose sum is σ = 16008008008944. Its totient is φ = 3430287430464.

The previous prime is 8004004004443. The next prime is 8004004004449. The reversal of 8004004004444 is 4444004004008.

8004004004444 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 8004004004444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004004004443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142928642909 + ... + 142928642964.

It is an arithmetic number, because the mean of its divisors is an integer number (1334000667412).

Almost surely, 2^{8004004004444} is an apocalyptic number.

It is an amenable number.

8004004004444 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

8004004004444 is a wasteful number, since it uses less digits than its factorization.

8004004004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285857285884 (or 285857285882 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 8004004004444 in words is "eight trillion, four billion, four million, four thousand, four hundred forty-four".