14124534400 has 48 divisors (see below), whose sum is σ = 34892021790. Its totient is φ = 5649812480.

The previous prime is 14124534383. The next prime is 14124534427. The reversal of 14124534400 is 443542141.

It can be written as a sum of positive squares in 3 ways, for example, as 11790485056 + 2334049344 = 108584^2 + 48312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2203759 + ... + 2210158.

Almost surely, 2^14124534400 is an apocalyptic number.

14124534400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124534400 is an abundant number, since it is smaller than the sum of its proper divisors (20767487390).

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

14124534400 is an equidigital number, since it uses as much as digits as its factorization.

14124534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413941 (or 4413924 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 14124534400 in words is "fourteen billion, one hundred twenty-four million, five hundred thirty-four thousand, four hundred".