4413157164864 has 504 divisors, whose sum is σ = 15205980711168. Its totient is φ = 1218897469440.

The previous prime is 4413157164863. The next prime is 4413157164881. The reversal of 4413157164864 is 4684617513144.

4413157164864 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 1 + 571 + 6 + 4 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×4413157164864² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4413157164864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413157164863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1017557704 + ... + 1017562040.

Almost surely, 2^{4413157164864} 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 4413157164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602990355584).

4413157164864 is an abundant number, since it is smaller than the sum of its proper divisors (10792823546304).

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

4413157164864 is a wasteful number, since it uses less digits than its factorization.

4413157164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5543 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 4413157164864 in words is "four trillion, four hundred thirteen billion, one hundred fifty-seven million, one hundred sixty-four thousand, eight hundred sixty-four".