4117594113360 has 640 divisors, whose sum is σ = 18018900049920. Its totient is φ = 840741120000.

The previous prime is 4117594113343. The next prime is 4117594113383. The reversal of 4117594113360 is 633114957114.

4117594113360 is a `hidden beast` number, since 4 + 1 + 17 + 594 + 1 + 13 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5755485 + ... + 6431235.

It is an arithmetic number, because the mean of its divisors is an integer number (28154531328).

Almost surely, 2^{4117594113360} is an apocalyptic number.

4117594113360 is a gapful number since it is divisible by the number (40) 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 4117594113360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9009450024960).

4117594113360 is an abundant number, since it is smaller than the sum of its proper divisors (13901305936560).

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

4117594113360 is a wasteful number, since it uses less digits than its factorization.

4117594113360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675824 (or 675812 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 4117594113360 in words is "four trillion, one hundred seventeen billion, five hundred ninety-four million, one hundred thirteen thousand, three hundred sixty".