13424202400 has 72 divisors (see below), whose sum is σ = 37453540320. Its totient is φ = 4602581760.

The previous prime is 13424202377. The next prime is 13424202403. The reversal of 13424202400 is 420242431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13424202403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1192990 + ... + 1204189.

It is an arithmetic number, because the mean of its divisors is an integer number (520188060).

Almost surely, 2^13424202400 is an apocalyptic number.

13424202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13424202400 is an abundant number, since it is smaller than the sum of its proper divisors (24029337920).

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

13424202400 is a wasteful number, since it uses less digits than its factorization.

13424202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397206 (or 2397193 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 13424202400 its reverse (420242431), we get a palindrome (13844444831).

The spelling of 13424202400 in words is "thirteen billion, four hundred twenty-four million, two hundred two thousand, four hundred".