12713646402240 has 896 divisors, whose sum is σ = 49533220638720. Its totient is φ = 2699683430400.

The previous prime is 12713646402211. The next prime is 12713646402269. The reversal of 12713646402240 is 4220464631721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12713646402211) and next prime (12713646402269).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12713646402192 and 12713646402201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1451159460 + ... + 1451168220.

It is an arithmetic number, because the mean of its divisors is an integer number (55282612320).

Almost surely, 2^{12713646402240} is an apocalyptic number.

12713646402240 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 12713646402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766610319360).

12713646402240 is an abundant number, since it is smaller than the sum of its proper divisors (36819574236480).

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

12713646402240 is a wasteful number, since it uses less digits than its factorization.

12713646402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9071 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 12713646402240 in words is "twelve trillion, seven hundred thirteen billion, six hundred forty-six million, four hundred two thousand, two hundred forty".