13401000800 has 72 divisors (see below), whose sum is σ = 35689325112. Its totient is φ = 4873088000.

The previous prime is 13401000799. The next prime is 13401000817. The reversal of 13401000800 is 800010431.

It is a happy number.

It is a congruent number.

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, 752621 + ... + 770220.

It is an arithmetic number, because the mean of its divisors is an integer number (495685071).

Almost surely, 2^13401000800 is an apocalyptic number.

13401000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401000800 is an abundant number, since it is smaller than the sum of its proper divisors (22288324312).

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

13401000800 is a wasteful number, since it uses less digits than its factorization.

13401000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522872 (or 1522859 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The spelling of 13401000800 in words is "thirteen billion, four hundred one million, eight hundred", and thus it is an aban number.