8441984067328 has 288 divisors, whose sum is σ = 21835681136640. Its totient is φ = 3172778864640.

The previous prime is 8441984067323. The next prime is 8441984067329. The reversal of 8441984067328 is 8237604891448.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8441984067328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8441984067323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24102351 + ... + 24450097.

It is an arithmetic number, because the mean of its divisors is an integer number (75818337280).

Almost surely, 2^{8441984067328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8441984067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917840568320).

8441984067328 is an abundant number, since it is smaller than the sum of its proper divisors (13393697069312).

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

8441984067328 is a wasteful number, since it uses less digits than its factorization.

8441984067328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347843 (or 347829 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

The spelling of 8441984067328 in words is "eight trillion, four hundred forty-one billion, nine hundred eighty-four million, sixty-seven thousand, three hundred twenty-eight".