4117588022016 has 216 divisors, whose sum is σ = 13570112075520. Its totient is φ = 1176272713728.

The previous prime is 4117588021949. The next prime is 4117588022017. The reversal of 4117588022016 is 6102208857114.

4117588022016 is a `hidden beast` number, since 41 + 1 + 7 + 588 + 0 + 2 + 20 + 1 + 6 = 666.

It is a super-2 number, since 2×4117588022016² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4117588022017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132540501 + ... + 132571563.

Almost surely, 2^{4117588022016} 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 4117588022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785056037760).

4117588022016 is an abundant number, since it is smaller than the sum of its proper divisors (9452524053504).

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

4117588022016 is a wasteful number, since it uses less digits than its factorization.

4117588022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39311 (or 39294 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 4117588022016 in words is "four trillion, one hundred seventeen billion, five hundred eighty-eight million, twenty-two thousand, sixteen".