13717270649940 has 288 divisors, whose sum is σ = 45477743138688. Its totient is φ = 3068735155200.

The previous prime is 13717270649893. The next prime is 13717270649977. The reversal of 13717270649940 is 4994607271731.

It is a happy number.

13717270649940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370989294 + ... + 371026266.

Almost surely, 2^{13717270649940} is an apocalyptic number.

13717270649940 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 13717270649940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22738871569344).

13717270649940 is an abundant number, since it is smaller than the sum of its proper divisors (31760472488748).

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

13717270649940 is a wasteful number, since it uses less digits than its factorization.

13717270649940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40951 (or 40938 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 13717270649940 in words is "thirteen trillion, seven hundred seventeen billion, two hundred seventy million, six hundred forty-nine thousand, nine hundred forty".