13731372610400 has 144 divisors (see below), whose sum is σ = 35363244263760. Its totient is φ = 5192078745600.

The previous prime is 13731372610339. The next prime is 13731372610411. The reversal of 13731372610400 is 401627313731.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5958020 + ... + 7934780.

It is an arithmetic number, because the mean of its divisors is an integer number (245578085165).

Almost surely, 2^{13731372610400} is an apocalyptic number.

13731372610400 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 13731372610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17681622131880).

13731372610400 is an abundant number, since it is smaller than the sum of its proper divisors (21631871653360).

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

13731372610400 is a wasteful number, since it uses less digits than its factorization.

13731372610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977257 (or 1977244 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The spelling of 13731372610400 in words is "thirteen trillion, seven hundred thirty-one billion, three hundred seventy-two million, six hundred ten thousand, four hundred".