4117315707072 has 560 divisors, whose sum is σ = 13289047214080. Its totient is φ = 1255680921600.

The previous prime is 4117315707067. The next prime is 4117315707157. The reversal of 4117315707072 is 2707075137114.

4117315707072 is a `hidden beast` number, since 4 + 1 + 1 + 7 + 3 + 1 + 570 + 7 + 0 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1926679188 + ... + 1926681324.

Almost surely, 2^{4117315707072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117315707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644523607040).

4117315707072 is an abundant number, since it is smaller than the sum of its proper divisors (9171731507008).

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

4117315707072 is a wasteful number, since it uses less digits than its factorization.

4117315707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 4117315707072 in words is "four trillion, one hundred seventeen billion, three hundred fifteen million, seven hundred seven thousand, seventy-two".