13713181440 has 576 divisors, whose sum is σ = 53602117632. Its totient is φ = 2919628800.

The previous prime is 13713181397. The next prime is 13713181451. The reversal of 13713181440 is 4418131731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25347570 + ... + 25348110.

It is an arithmetic number, because the mean of its divisors is an integer number (93059232).

Almost surely, 2^13713181440 is an apocalyptic number.

13713181440 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 13713181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26801058816).

13713181440 is an abundant number, since it is smaller than the sum of its proper divisors (39888936192).

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

13713181440 is a wasteful number, since it uses less digits than its factorization.

13713181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 13713181440 in words is "thirteen billion, seven hundred thirteen million, one hundred eighty-one thousand, four hundred forty".