8440088320 has 72 divisors (see below), whose sum is σ = 20233760400. Its totient is φ = 3373178880.

The previous prime is 8440088281. The next prime is 8440088323. The reversal of 8440088320 is 238800448.

It is a self number, because there is not a number n which added to its sum of digits gives 8440088320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8440088323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2172780 + ... + 2176660.

It is an arithmetic number, because the mean of its divisors is an integer number (281024450).

Almost surely, 2^8440088320 is an apocalyptic number.

8440088320 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 8440088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116880200).

8440088320 is an abundant number, since it is smaller than the sum of its proper divisors (11793672080).

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

8440088320 is a wasteful number, since it uses less digits than its factorization.

8440088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 8440088320 is about 91869.9533035693. The cubic root of 8440088320 is about 2036.0213624642.

Adding to 8440088320 its reverse (238800448), we get a palindrome (8678888768).

The spelling of 8440088320 in words is "eight billion, four hundred forty million, eighty-eight thousand, three hundred twenty".