8315040000 has 360 divisors, whose sum is σ = 29309243040. Its totient is φ = 2084864000.

The previous prime is 8315039981. The next prime is 8315040023. The reversal of 8315040000 is 405138.

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 39 ways as a sum of consecutive naturals, for example, 8159491 + ... + 8160509.

It is an arithmetic number, because the mean of its divisors is an integer number (81414564).

Almost surely, 2^8315040000 is an apocalyptic number.

8315040000 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 8315040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14654621520).

8315040000 is an abundant number, since it is smaller than the sum of its proper divisors (20994203040).

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

8315040000 is a wasteful number, since it uses less digits than its factorization.

8315040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8315040000 is about 91186.8411559475. The cubic root of 8315040000 is about 2025.9160616800.

Adding to 8315040000 its reverse (405138), we get a palindrome (8315445138).

The spelling of 8315040000 in words is "eight billion, three hundred fifteen million, forty thousand".