8614318440 has 256 divisors, whose sum is σ = 32834027520. Its totient is φ = 1758827520.

The previous prime is 8614318417. The next prime is 8614318481. The reversal of 8614318440 is 448134168.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325797 + ... + 351243.

It is an arithmetic number, because the mean of its divisors is an integer number (128257920).

Almost surely, 2^8614318440 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 8614318440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16417013760).

8614318440 is an abundant number, since it is smaller than the sum of its proper divisors (24219709080).

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

8614318440 is a wasteful number, since it uses less digits than its factorization.

8614318440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25512 (or 25508 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 8614318440 is about 92813.3527031537. The cubic root of 8614318440 is about 2049.9360233851.

The spelling of 8614318440 in words is "eight billion, six hundred fourteen million, three hundred eighteen thousand, four hundred forty".