13920400896 has 80 divisors (see below), whose sum is σ = 38363727600. Its totient is φ = 4480114688.

The previous prime is 13920400831. The next prime is 13920400909. The reversal of 13920400896 is 69800402931.

It is a super-2 number, since 2×13920400896² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111711 + ... + 200798.

It is an arithmetic number, because the mean of its divisors is an integer number (479546595).

Almost surely, 2^13920400896 is an apocalyptic number.

13920400896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13920400896 is an abundant number, since it is smaller than the sum of its proper divisors (24443326704).

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

13920400896 is an equidigital number, since it uses as much as digits as its factorization.

13920400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312559 (or 312543 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 13920400896 in words is "thirteen billion, nine hundred twenty million, four hundred thousand, eight hundred ninety-six".