8099581440 has 320 divisors, whose sum is σ = 27859645440. Its totient is φ = 2000977920.

The previous prime is 8099581433. The next prime is 8099581453. The reversal of 8099581440 is 441859908.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8099581440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6857650 + ... + 6858830.

It is an arithmetic number, because the mean of its divisors is an integer number (87061392).

Almost surely, 2^8099581440 is an apocalyptic number.

8099581440 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 8099581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929822720).

8099581440 is an abundant number, since it is smaller than the sum of its proper divisors (19760064000).

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

8099581440 is a wasteful number, since it uses less digits than its factorization.

8099581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 8099581440 is about 89997.6746366260. The cubic root of 8099581440 is about 2008.2642573228.

The spelling of 8099581440 in words is "eight billion, ninety-nine million, five hundred eighty-one thousand, four hundred forty".