13917731040 has 480 divisors, whose sum is σ = 53513460000. Its totient is φ = 3393073152.

The previous prime is 13917730933. The next prime is 13917731063. The reversal of 13917731040 is 4013771931.

13917731040 is a `hidden beast` number, since 139 + 177 + 310 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 13917730986 and 13917731004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7139986 + ... + 7141934.

It is an arithmetic number, because the mean of its divisors is an integer number (111486375).

Almost surely, 2^13917731040 is an apocalyptic number.

13917731040 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 13917731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26756730000).

13917731040 is an abundant number, since it is smaller than the sum of its proper divisors (39595728960).

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

13917731040 is a wasteful number, since it uses less digits than its factorization.

13917731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 13917731040 in words is "thirteen billion, nine hundred seventeen million, seven hundred thirty-one thousand, forty".