8442382975488 has 2880 divisors, whose sum is σ = 34709282213760. Its totient is φ = 2011040317440.

The previous prime is 8442382975457. The next prime is 8442382975493. The reversal of 8442382975488 is 8845792832448.

8442382975488 is a `hidden beast` number, since 8 + 4 + 42 + 38 + 2 + 9 + 7 + 548 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101715457495 + ... + 101715457577.

It is an arithmetic number, because the mean of its divisors is an integer number (12051834102).

Almost surely, 2^{8442382975488} is an apocalyptic number.

8442382975488 is a gapful number since it is divisible by the number (88) 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 8442382975488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17354641106880).

8442382975488 is an abundant number, since it is smaller than the sum of its proper divisors (26266899238272).

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

8442382975488 is a wasteful number, since it uses less digits than its factorization.

8442382975488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 196 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 8442382975488 in words is "eight trillion, four hundred forty-two billion, three hundred eighty-two million, nine hundred seventy-five thousand, four hundred eighty-eight".