800444400404 has 24 divisors (see below), whose sum is σ = 1528561927200. Its totient is φ = 363733411680.

The previous prime is 800444400403. The next prime is 800444400443. The reversal of 800444400404 is 404004444008.

It is a super-5 number, since 5×800444400404⁵ (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800444400401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2469434 + ... + 2774705.

It is an arithmetic number, because the mean of its divisors is an integer number (63690080300).

Almost surely, 2^800444400404 is an apocalyptic number.

It is an amenable number.

800444400404 is a deficient number, since it is larger than the sum of its proper divisors (728117526796).

800444400404 is a wasteful number, since it uses less digits than its factorization.

800444400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247623 (or 5247621 counting only the distinct ones).

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

The spelling of 800444400404 in words is "eight hundred billion, four hundred forty-four million, four hundred thousand, four hundred four".