13342492800 has 768 divisors, whose sum is σ = 60133651200. Its totient is φ = 2813460480.

The previous prime is 13342492771. The next prime is 13342492829. The reversal of 13342492800 is 829424331.

13342492800 is a `hidden beast` number, since 1 + 334 + 2 + 49 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13342492771) and next prime (13342492829).

It is a super-2 number, since 2×13342492800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7861552 + ... + 7863248.

It is an arithmetic number, because the mean of its divisors is an integer number (78299025).

Almost surely, 2^13342492800 is an apocalyptic number.

13342492800 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 13342492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30066825600).

13342492800 is an abundant number, since it is smaller than the sum of its proper divisors (46791158400).

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

13342492800 is a wasteful number, since it uses less digits than its factorization.

13342492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13342492800 in words is "thirteen billion, three hundred forty-two million, four hundred ninety-two thousand, eight hundred".