8309442240 has 896 divisors, whose sum is σ = 35025177600. Its totient is φ = 1831403520.

The previous prime is 8309442173. The next prime is 8309442247. The reversal of 8309442240 is 422449038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8309442195 and 8309442204.

It is not an unprimeable number, because it can be changed into a prime (8309442247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59780091 + ... + 59780229.

It is an arithmetic number, because the mean of its divisors is an integer number (39090600).

Almost surely, 2^8309442240 is an apocalyptic number.

8309442240 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 8309442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512588800).

8309442240 is an abundant number, since it is smaller than the sum of its proper divisors (26715735360).

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

8309442240 is a wasteful number, since it uses less digits than its factorization.

8309442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8309442240 is about 91156.1420859834. The cubic root of 8309442240 is about 2025.4613379621.

The spelling of 8309442240 in words is "eight billion, three hundred nine million, four hundred forty-two thousand, two hundred forty".