13940133318320 has 80 divisors (see below), whose sum is σ = 37218155028480. Its totient is φ = 4802342572800.

The previous prime is 13940133318269. The next prime is 13940133318337. The reversal of 13940133318320 is 2381333104931.

13940133318320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416853296 + ... + 416886735.

It is an arithmetic number, because the mean of its divisors is an integer number (465226937856).

Almost surely, 2^{13940133318320} is an apocalyptic number.

13940133318320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13940133318320 is an abundant number, since it is smaller than the sum of its proper divisors (23278021710160).

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

13940133318320 is a wasteful number, since it uses less digits than its factorization.

13940133318320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833740074 (or 833740068 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 13940133318320 in words is "thirteen trillion, nine hundred forty billion, one hundred thirty-three million, three hundred eighteen thousand, three hundred twenty".