13232414400 has 84 divisors (see below), whose sum is σ = 43413361992. Its totient is φ = 3528642560.

The previous prime is 13232414347. The next prime is 13232414417. The reversal of 13232414400 is 441423231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1373577 + ... + 1383176.

It is an arithmetic number, because the mean of its divisors is an integer number (516825738).

Almost surely, 2^13232414400 is an apocalyptic number.

13232414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13232414400 is an abundant number, since it is smaller than the sum of its proper divisors (30180947592).

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

13232414400 is a wasteful number, since it uses less digits than its factorization.

13232414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756778 (or 2756763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13232414400 its reverse (441423231), we get a palindrome (13673837631).

The spelling of 13232414400 in words is "thirteen billion, two hundred thirty-two million, four hundred fourteen thousand, four hundred".