13299434400 has 288 divisors, whose sum is σ = 49859808768. Its totient is φ = 3016166400.

The previous prime is 13299434381. The next prime is 13299434411. The reversal of 13299434400 is 443499231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2197779 + ... + 2203821.

It is an arithmetic number, because the mean of its divisors is an integer number (173124336).

Almost surely, 2^13299434400 is an apocalyptic number.

13299434400 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 13299434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24929904384).

13299434400 is an abundant number, since it is smaller than the sum of its proper divisors (36560374368).

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

13299434400 is a wasteful number, since it uses less digits than its factorization.

13299434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 13299434400 in words is "thirteen billion, two hundred ninety-nine million, four hundred thirty-four thousand, four hundred".