4159022376960 has 1728 divisors, whose sum is σ = 16737043115520. Its totient is φ = 953096601600.

The previous prime is 4159022376931. The next prime is 4159022376973. The reversal of 4159022376960 is 696732209514.

4159022376960 is a `hidden beast` number, since 41 + 590 + 2 + 2 + 3 + 7 + 6 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4159022376897 and 4159022376906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18321684367 + ... + 18321684593.

It is an arithmetic number, because the mean of its divisors is an integer number (9685788840).

Almost surely, 2^{4159022376960} is an apocalyptic number.

4159022376960 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 4159022376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368521557760).

4159022376960 is an abundant number, since it is smaller than the sum of its proper divisors (12578020738560).

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

4159022376960 is a wasteful number, since it uses less digits than its factorization.

4159022376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 4159022376960 in words is "four trillion, one hundred fifty-nine billion, twenty-two million, three hundred seventy-six thousand, nine hundred sixty".