14057874400 has 36 divisors (see below), whose sum is σ = 34318787832. Its totient is φ = 5623149440.

The previous prime is 14057874371. The next prime is 14057874409. The reversal of 14057874400 is 447875041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14057874409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8785372 + ... + 8786971.

It is an arithmetic number, because the mean of its divisors is an integer number (953299662).

Almost surely, 2^14057874400 is an apocalyptic number.

14057874400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14057874400 is an abundant number, since it is smaller than the sum of its proper divisors (20260913432).

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

14057874400 is a wasteful number, since it uses less digits than its factorization.

14057874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17572363 (or 17572350 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 14057874400 in words is "fourteen billion, fifty-seven million, eight hundred seventy-four thousand, four hundred".