13731206400 has 432 divisors, whose sum is σ = 50716545600. Its totient is φ = 3635159040.

The previous prime is 13731206399. The next prime is 13731206521. The reversal of 13731206400 is 460213731.

13731206400 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 12 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39571027 + ... + 39571373.

Almost surely, 2^13731206400 is an apocalyptic number.

13731206400 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 13731206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25358272800).

13731206400 is an abundant number, since it is smaller than the sum of its proper divisors (36985339200).

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

13731206400 is a wasteful number, since it uses less digits than its factorization.

13731206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13731206400 in words is "thirteen billion, seven hundred thirty-one million, two hundred six thousand, four hundred".