13931274240 has 1120 divisors, whose sum is σ = 59946052320. Its totient is φ = 3057647616.

The previous prime is 13931274209. The next prime is 13931274241. The reversal of 13931274240 is 4247213931.

It is a happy number.

13931274240 is a `hidden beast` number, since 1 + 39 + 312 + 74 + 240 = 666.

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 = 13931274195 and 13931274204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13931274241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 733224951 + ... + 733224969.

It is an arithmetic number, because the mean of its divisors is an integer number (53523261).

Almost surely, 2^13931274240 is an apocalyptic number.

13931274240 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 13931274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29973026160).

13931274240 is an abundant number, since it is smaller than the sum of its proper divisors (46014778080).

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

13931274240 is a wasteful number, since it uses less digits than its factorization.

13931274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13931274240 in words is "thirteen billion, nine hundred thirty-one million, two hundred seventy-four thousand, two hundred forty".