8840961440 has 96 divisors (see below), whose sum is σ = 22060019520. Its totient is φ = 3338993664.

The previous prime is 8840961439. The next prime is 8840961473. The reversal of 8840961440 is 441690488.

8840961440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8840961391 and 8840961400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928544 + ... + 938016.

It is an arithmetic number, because the mean of its divisors is an integer number (229791870).

Almost surely, 2^8840961440 is an apocalyptic number.

8840961440 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 8840961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030009760).

8840961440 is an abundant number, since it is smaller than the sum of its proper divisors (13219058080).

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

8840961440 is a wasteful number, since it uses less digits than its factorization.

8840961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9814 (or 9806 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 8840961440 is about 94026.3869347323. The cubic root of 8840961440 is about 2067.7585826601.

The spelling of 8840961440 in words is "eight billion, eight hundred forty million, nine hundred sixty-one thousand, four hundred forty".