4164506555160 has 128 divisors (see below), whose sum is σ = 14285235271680. Its totient is φ = 951425407488.

The previous prime is 4164506555141. The next prime is 4164506555171. The reversal of 4164506555160 is 615556054614.

It is a super-2 number, since 2×4164506555160² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531334 + ... + 2934506.

It is an arithmetic number, because the mean of its divisors is an integer number (111603400560).

Almost surely, 2^{4164506555160} is an apocalyptic number.

4164506555160 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 4164506555160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142617635840).

4164506555160 is an abundant number, since it is smaller than the sum of its proper divisors (10120728716520).

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

4164506555160 is a wasteful number, since it uses less digits than its factorization.

4164506555160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405257 (or 2405253 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 4164506555160 in words is "four trillion, one hundred sixty-four billion, five hundred six million, five hundred fifty-five thousand, one hundred sixty".