13942912320 has 504 divisors, whose sum is σ = 51742009800. Its totient is φ = 3574222848.

The previous prime is 13942912307. The next prime is 13942912339. The reversal of 13942912320 is 2321924931.

13942912320 is a `hidden beast` number, since 139 + 4 + 291 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4368681216 + 9574231104 = 66096^2 + 97848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60885966 + ... + 60886194.

Almost surely, 2^13942912320 is an apocalyptic number.

13942912320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13942912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25871004900).

13942912320 is an abundant number, since it is smaller than the sum of its proper divisors (37799097480).

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

13942912320 is an frugal number, since it uses more digits than its factorization.

13942912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13942912320 in words is "thirteen billion, nine hundred forty-two million, nine hundred twelve thousand, three hundred twenty".