13401345600 has 504 divisors, whose sum is σ = 50912402112. Its totient is φ = 3335270400.

The previous prime is 13401345589. The next prime is 13401345641. The reversal of 13401345600 is 654310431.

13401345600 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 13 + 45 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14241130 + ... + 14242070.

Almost surely, 2^13401345600 is an apocalyptic number.

13401345600 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 13401345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25456201056).

13401345600 is an abundant number, since it is smaller than the sum of its proper divisors (37511056512).

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

13401345600 is a wasteful number, since it uses less digits than its factorization.

13401345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13401345600 in words is "thirteen billion, four hundred one million, three hundred forty-five thousand, six hundred".