13314038400 has 576 divisors, whose sum is σ = 52415082720. Its totient is φ = 3197214720.

The previous prime is 13314038399. The next prime is 13314038407. The reversal of 13314038400 is 483041331.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (13314038407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16098787 + ... + 16099613.

Almost surely, 2^13314038400 is an apocalyptic number.

13314038400 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 13314038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26207541360).

13314038400 is an abundant number, since it is smaller than the sum of its proper divisors (39101044320).

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

13314038400 is a wasteful number, since it uses less digits than its factorization.

13314038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13314038400 its reverse (483041331), we get a palindrome (13797079731).

The spelling of 13314038400 in words is "thirteen billion, three hundred fourteen million, thirty-eight thousand, four hundred".