8440668559080 has 896 divisors, whose sum is σ = 31515552381600. Its totient is φ = 2023971618816.

The previous prime is 8440668559067. The next prime is 8440668559139. The reversal of 8440668559080 is 809558660448.

8440668559080 is a `hidden beast` number, since 8 + 4 + 406 + 68 + 5 + 5 + 90 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 333790440516 + 8106878118564 = 577746^2 + 2847258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8440668558999 and 8440668559017.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1394457334 + ... + 1394463386.

Almost surely, 2^{8440668559080} 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 8440668559080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757776190800).

8440668559080 is an abundant number, since it is smaller than the sum of its proper divisors (23074883822520).

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

8440668559080 is a wasteful number, since it uses less digits than its factorization.

8440668559080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 8440668559080 in words is "eight trillion, four hundred forty billion, six hundred sixty-eight million, five hundred fifty-nine thousand, eighty".