4004844400804 has 12 divisors (see below), whose sum is σ = 7547591370844. Its totient is φ = 1848389723424.

The previous prime is 4004844400793. The next prime is 4004844400811. The reversal of 4004844400804 is 4080044484004.

4004844400804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1008317222500 + 2996527178304 = 1004150^2 + 1731048^2 .

It is a super-2 number, since 2×4004844400804² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38508119187 + ... + 38508119290.

Almost surely, 2^{4004844400804} is an apocalyptic number.

It is an amenable number.

4004844400804 is a deficient number, since it is larger than the sum of its proper divisors (3542746970040).

4004844400804 is a wasteful number, since it uses less digits than its factorization.

4004844400804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77016238494 (or 77016238492 counting only the distinct ones).

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

Adding to 4004844400804 its reverse (4080044484004), we get a palindrome (8084888884808).

The spelling of 4004844400804 in words is "four trillion, four billion, eight hundred forty-four million, four hundred thousand, eight hundred four".