13431398400 has 672 divisors, whose sum is σ = 56556737280. Its totient is φ = 3061186560.

The previous prime is 13431398377. The next prime is 13431398413. The reversal of 13431398400 is 489313431.

13431398400 is a `hidden beast` number, since 134 + 31 + 3 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 47 ways as a sum of consecutive naturals, for example, 38707027 + ... + 38707373.

Almost surely, 2^13431398400 is an apocalyptic number.

13431398400 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 13431398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28278368640).

13431398400 is an abundant number, since it is smaller than the sum of its proper divisors (43125338880).

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

13431398400 is an equidigital number, since it uses as much as digits as its factorization.

13431398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13431398400 in words is "thirteen billion, four hundred thirty-one million, three hundred ninety-eight thousand, four hundred".