13340831400 has 576 divisors, whose sum is σ = 50891742720. Its totient is φ = 3109017600.

The previous prime is 13340831393. The next prime is 13340831411. The reversal of 13340831400 is 413804331.

13340831400 is a `hidden beast` number, since 1 + 3 + 340 + 8 + 314 + 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, 38446027 + ... + 38446373.

It is an arithmetic number, because the mean of its divisors is an integer number (88353720).

Almost surely, 2^13340831400 is an apocalyptic number.

13340831400 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 13340831400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25445871360).

13340831400 is an abundant number, since it is smaller than the sum of its proper divisors (37550911320).

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

13340831400 is a wasteful number, since it uses less digits than its factorization.

13340831400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13340831400 in words is "thirteen billion, three hundred forty million, eight hundred thirty-one thousand, four hundred".