8009981448840 has 576 divisors, whose sum is σ = 30818886836400. Its totient is φ = 1798695714816.

The previous prime is 8009981448773. The next prime is 8009981448869. The reversal of 8009981448840 is 488441899008.

It can be written as a sum of positive squares in 8 ways, for example, as 2677955510916 + 5332025937924 = 1636446^2 + 2309118^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 246467472 + ... + 246499968.

Almost surely, 2^{8009981448840} 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 8009981448840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15409443418200).

8009981448840 is an abundant number, since it is smaller than the sum of its proper divisors (22808905387560).

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

8009981448840 is a wasteful number, since it uses less digits than its factorization.

8009981448840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32774 (or 32760 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 8009981448840 in words is "eight trillion, nine billion, nine hundred eighty-one million, four hundred forty-eight thousand, eight hundred forty".