13942579392 has 672 divisors, whose sum is σ = 51657016320. Its totient is φ = 3503554560.

The previous prime is 13942579367. The next prime is 13942579397. The reversal of 13942579392 is 29397524931.

13942579392 is a `hidden beast` number, since 1 + 39 + 4 + 2 + 579 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (13942579397) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72241248 + ... + 72241440.

It is an arithmetic number, because the mean of its divisors is an integer number (76870560).

Almost surely, 2^13942579392 is an apocalyptic number.

13942579392 is a gapful number since it is divisible by the number (12) 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 13942579392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25828508160).

13942579392 is an abundant number, since it is smaller than the sum of its proper divisors (37714436928).

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

13942579392 is a wasteful number, since it uses less digits than its factorization.

13942579392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 13942579392 in words is "thirteen billion, nine hundred forty-two million, five hundred seventy-nine thousand, three hundred ninety-two".