13399214400 has 1008 divisors, whose sum is σ = 58262812608. Its totient is φ = 2985984000.

The previous prime is 13399214393. The next prime is 13399214431. The reversal of 13399214400 is 441299331.

13399214400 is a `hidden beast` number, since 1 + 3 + 39 + 9 + 214 + 400 = 666.

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

It is a congruent number.

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, 55598280 + ... + 55598520.

Almost surely, 2^13399214400 is an apocalyptic number.

13399214400 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 13399214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29131406304).

13399214400 is an abundant number, since it is smaller than the sum of its proper divisors (44863598208).

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

13399214400 is a wasteful number, since it uses less digits than its factorization.

13399214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13399214400 in words is "thirteen billion, three hundred ninety-nine million, two hundred fourteen thousand, four hundred".