13402002400 has 72 divisors (see below), whose sum is σ = 33131941920. Its totient is φ = 5292917760.

The previous prime is 13402002371. The next prime is 13402002421. The reversal of 13402002400 is 420020431.

13402002400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13402002400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42829 + ... + 169228.

It is an arithmetic number, because the mean of its divisors is an integer number (460165860).

Almost surely, 2^13402002400 is an apocalyptic number.

13402002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402002400 is an abundant number, since it is smaller than the sum of its proper divisors (19729939520).

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

13402002400 is a wasteful number, since it uses less digits than its factorization.

13402002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212156 (or 212143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 13402002400 its reverse (420020431), we get a palindrome (13822022831).

The spelling of 13402002400 in words is "thirteen billion, four hundred two million, two thousand, four hundred".