8241879444480 has 1232 divisors, whose sum is σ = 32537746372608. Its totient is φ = 1985679360000.

The previous prime is 8241879444451. The next prime is 8241879444493. The reversal of 8241879444480 is 844449781428.

8241879444480 is a `hidden beast` number, since 8 + 2 + 4 + 187 + 9 + 4 + 4 + 448 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7841939955 + ... + 7841941005.

Almost surely, 2^{8241879444480} is an apocalyptic number.

8241879444480 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 8241879444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268873186304).

8241879444480 is an abundant number, since it is smaller than the sum of its proper divisors (24295866928128).

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

8241879444480 is a wasteful number, since it uses less digits than its factorization.

8241879444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 8241879444480 in words is "eight trillion, two hundred forty-one billion, eight hundred seventy-nine million, four hundred forty-four thousand, four hundred eighty".