13957443360 has 576 divisors, whose sum is σ = 58896294912. Its totient is φ = 2937028608.

The previous prime is 13957443323. The next prime is 13957443361. The reversal of 13957443360 is 6334475931.

13957443360 is a `hidden beast` number, since 1 + 3 + 9 + 574 + 43 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13957443361) 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, 8053054 + ... + 8054786.

It is an arithmetic number, because the mean of its divisors is an integer number (102250512).

Almost surely, 2^13957443360 is an apocalyptic number.

13957443360 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 13957443360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29448147456).

13957443360 is an abundant number, since it is smaller than the sum of its proper divisors (44938851552).

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

13957443360 is a wasteful number, since it uses less digits than its factorization.

13957443360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 13957443360 in words is "thirteen billion, nine hundred fifty-seven million, four hundred forty-three thousand, three hundred sixty".