13957669040 has 160 divisors (see below), whose sum is σ = 39175825920. Its totient is φ = 4517793792.

The previous prime is 13957669039. The next prime is 13957669051. The reversal of 13957669040 is 4096675931.

13957669040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13957669040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3264344 + ... + 3268616.

It is an arithmetic number, because the mean of its divisors is an integer number (244848912).

Almost surely, 2^13957669040 is an apocalyptic number.

13957669040 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 13957669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19587912960).

13957669040 is an abundant number, since it is smaller than the sum of its proper divisors (25218156880).

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

13957669040 is a wasteful number, since it uses less digits than its factorization.

13957669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 13957669040 in words is "thirteen billion, nine hundred fifty-seven million, six hundred sixty-nine thousand, forty".