14240132400 has 120 divisors (see below), whose sum is σ = 49124859280. Its totient is φ = 3505259520.

The previous prime is 14240132383. The next prime is 14240132437. The reversal of 14240132400 is 423104241.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440815 + ... + 472014.

Almost surely, 2^14240132400 is an apocalyptic number.

14240132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240132400 is an abundant number, since it is smaller than the sum of its proper divisors (34884726880).

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

14240132400 is a wasteful number, since it uses less digits than its factorization.

14240132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912863 (or 912852 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14240132400 its reverse (423104241), we get a palindrome (14663236641).

The spelling of 14240132400 in words is "fourteen billion, two hundred forty million, one hundred thirty-two thousand, four hundred".