13420042800 has 60 divisors (see below), whose sum is σ = 42988874280. Its totient is φ = 3578677760.

The previous prime is 13420042789. The next prime is 13420042859. The reversal of 13420042800 is 824002431.

It is a tau number, because it is divible by the number of its divisors (60).

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, 5590485 + ... + 5592884.

It is an arithmetic number, because the mean of its divisors is an integer number (716481238).

Almost surely, 2^13420042800 is an apocalyptic number.

13420042800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13420042800 is an abundant number, since it is smaller than the sum of its proper divisors (29568831480).

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

13420042800 is a wasteful number, since it uses less digits than its factorization.

13420042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11183390 (or 11183379 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 13420042800 in words is "thirteen billion, four hundred twenty million, forty-two thousand, eight hundred".