13334400800 has 72 divisors (see below), whose sum is σ = 37202993856. Its totient is φ = 4571792640.

The previous prime is 13334400763. The next prime is 13334400917. The reversal of 13334400800 is 800443331.

It is a self number, because there is not a number n which added to its sum of digits gives 13334400800.

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, 1184972 + ... + 1196171.

It is an arithmetic number, because the mean of its divisors is an integer number (516708248).

Almost surely, 2^13334400800 is an apocalyptic number.

13334400800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13334400800 is an abundant number, since it is smaller than the sum of its proper divisors (23868593056).

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

13334400800 is a wasteful number, since it uses less digits than its factorization.

13334400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381170 (or 2381157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 13334400800 in words is "thirteen billion, three hundred thirty-four million, four hundred thousand, eight hundred".