13240714032 has 320 divisors, whose sum is σ = 48045813760. Its totient is φ = 3397303296.

The previous prime is 13240714013. The next prime is 13240714033. The reversal of 13240714032 is 23041704231.

It is a happy number.

13240714032 is a `hidden beast` number, since 13 + 240 + 7 + 1 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13240713987 and 13240714005.

It is not an unprimeable number, because it can be changed into a prime (13240714033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449993 + ... + 1459095.

It is an arithmetic number, because the mean of its divisors is an integer number (150143168).

Almost surely, 2^13240714032 is an apocalyptic number.

13240714032 is a gapful number since it is divisible by the number (12) 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 13240714032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022906880).

13240714032 is an abundant number, since it is smaller than the sum of its proper divisors (34805099728).

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

13240714032 is a wasteful number, since it uses less digits than its factorization.

13240714032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9177 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 13240714032 in words is "thirteen billion, two hundred forty million, seven hundred fourteen thousand, thirty-two".