8444084808400 has 60 divisors (see below), whose sum is σ = 20343423607200. Its totient is φ = 3368225415040.

The previous prime is 8444084808359. The next prime is 8444084808433. The reversal of 8444084808400 is 48084804448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29257810 + ... + 29545009.

It is an arithmetic number, because the mean of its divisors is an integer number (339057060120).

Almost surely, 2^{8444084808400} is an apocalyptic number.

8444084808400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8444084808400 is an abundant number, since it is smaller than the sum of its proper divisors (11899338798800).

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

8444084808400 is a wasteful number, since it uses less digits than its factorization.

8444084808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58803196 (or 58803185 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 52.

The spelling of 8444084808400 in words is "eight trillion, four hundred forty-four billion, eighty-four million, eight hundred eight thousand, four hundred".