4440159255168 has 640 divisors, whose sum is σ = 16407506142720. Its totient is φ = 1160640036864.

The previous prime is 4440159255167. The next prime is 4440159255247. The reversal of 4440159255168 is 8615529510444.

It is a happy number.

4440159255168 is a `hidden beast` number, since 4 + 4 + 40 + 1 + 592 + 5 + 5 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×4440159255168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4440159255167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106593321 + ... + 106634967.

It is an arithmetic number, because the mean of its divisors is an integer number (25636728348).

Almost surely, 2^{4440159255168} is an apocalyptic number.

4440159255168 is a gapful number since it is divisible by the number (48) 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 4440159255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203753071360).

4440159255168 is an abundant number, since it is smaller than the sum of its proper divisors (11967346887552).

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

4440159255168 is a wasteful number, since it uses less digits than its factorization.

4440159255168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41806 (or 41785 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 4440159255168 in words is "four trillion, four hundred forty billion, one hundred fifty-nine million, two hundred fifty-five thousand, one hundred sixty-eight".