4120559168 has 168 divisors, whose sum is σ = 9404503416. Its totient is φ = 1788272640.

The previous prime is 4120559159. The next prime is 4120559189. The reversal of 4120559168 is 8619550214.

It can be written as a sum of positive squares in 4 ways, for example, as 2825135104 + 1295424064 = 53152^2 + 35992^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20916446 + ... + 20916642.

It is an arithmetic number, because the mean of its divisors is an integer number (55979187).

Almost surely, 2^4120559168 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 4120559168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702251708).

4120559168 is an abundant number, since it is smaller than the sum of its proper divisors (5283944248).

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

4120559168 is a wasteful number, since it uses less digits than its factorization.

4120559168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 4120559168 is about 64191.5817533732. The cubic root of 4120559168 is about 1603.1914383018.

The spelling of 4120559168 in words is "four billion, one hundred twenty million, five hundred fifty-nine thousand, one hundred sixty-eight".