13434220800 has 1296 divisors, whose sum is σ = 64765104768. Its totient is φ = 2565734400.

The previous prime is 13434220799. The next prime is 13434220829. The reversal of 13434220800 is 802243431.

13434220800 is a `hidden beast` number, since 1 + 3 + 434 + 220 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57657484 + ... + 57657716.

Almost surely, 2^13434220800 is an apocalyptic number.

13434220800 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 13434220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32382552384).

13434220800 is an abundant number, since it is smaller than the sum of its proper divisors (51330883968).

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

13434220800 is a wasteful number, since it uses less digits than its factorization.

13434220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 13434220800 in words is "thirteen billion, four hundred thirty-four million, two hundred twenty thousand, eight hundred".