8441172960 has 576 divisors, whose sum is σ = 31274449920. Its totient is φ = 1908121600.

The previous prime is 8441172917. The next prime is 8441173001. The reversal of 8441172960 is 692711448.

It is a hoax number, since the sum of its digits (42) 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 95 ways as a sum of consecutive naturals, for example, 94844596 + ... + 94844684.

It is an arithmetic number, because the mean of its divisors is an integer number (54295920).

Almost surely, 2^8441172960 is an apocalyptic number.

8441172960 is a gapful number since it is divisible by the number (80) 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 8441172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637224960).

8441172960 is an abundant number, since it is smaller than the sum of its proper divisors (22833276960).

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

8441172960 is a wasteful number, since it uses less digits than its factorization.

8441172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 8441172960 is about 91875.8562409080. The cubic root of 8441172960 is about 2036.1085754386.

The spelling of 8441172960 in words is "eight billion, four hundred forty-one million, one hundred seventy-two thousand, nine hundred sixty".