13342332400 has 120 divisors (see below), whose sum is σ = 33008581760. Its totient is φ = 5179749120.

The previous prime is 13342332397. The next prime is 13342332431. The reversal of 13342332400 is 423324331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 2801221 + ... + 2805979.

Almost surely, 2^13342332400 is an apocalyptic number.

13342332400 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 13342332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16504290880).

13342332400 is an abundant number, since it is smaller than the sum of its proper divisors (19666249360).

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

13342332400 is a wasteful number, since it uses less digits than its factorization.

13342332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4983 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 13342332400 its reverse (423324331), we get a palindrome (13765656731).

The spelling of 13342332400 in words is "thirteen billion, three hundred forty-two million, three hundred thirty-two thousand, four hundred".