14200324400 has 120 divisors (see below), whose sum is σ = 36334933344. Its totient is φ = 5314662400.

The previous prime is 14200324379. The next prime is 14200324433. The reversal of 14200324400 is 442300241.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1170365 + ... + 1182435.

Almost surely, 2^14200324400 is an apocalyptic number.

14200324400 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 14200324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18167466672).

14200324400 is an abundant number, since it is smaller than the sum of its proper divisors (22134608944).

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

14200324400 is a wasteful number, since it uses less digits than its factorization.

14200324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12279 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14200324400 its reverse (442300241), we get a palindrome (14642624641).

The spelling of 14200324400 in words is "fourteen billion, two hundred million, three hundred twenty-four thousand, four hundred".