14313132234400 has 144 divisors (see below), whose sum is σ = 35547595433280. Its totient is φ = 5626088345600.

The previous prime is 14313132234361. The next prime is 14313132234493. The reversal of 14313132234400 is 443223131341.

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, 127903272 + ... + 128015128.

It is an arithmetic number, because the mean of its divisors is an integer number (246858301620).

Almost surely, 2^{14313132234400} is an apocalyptic number.

14313132234400 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 14313132234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773797716640).

14313132234400 is an abundant number, since it is smaller than the sum of its proper divisors (21234463198880).

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

14313132234400 is a wasteful number, since it uses less digits than its factorization.

14313132234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114647 (or 114634 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 14313132234400 its reverse (443223131341), we get a palindrome (14756355365741).

The spelling of 14313132234400 in words is "fourteen trillion, three hundred thirteen billion, one hundred thirty-two million, two hundred thirty-four thousand, four hundred".