8241315840 has 512 divisors, whose sum is σ = 30953491200. Its totient is φ = 2102132736.

The previous prime is 8241315833. The next prime is 8241315853. The reversal of 8241315840 is 485131428.

8241315840 is a `hidden beast` number, since 8 + 2 + 41 + 31 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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 = 8241315795 and 8241315804.

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 31 ways as a sum of consecutive naturals, for example, 358318069 + ... + 358318091.

Almost surely, 2^8241315840 is an apocalyptic number.

8241315840 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 8241315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476745600).

8241315840 is an abundant number, since it is smaller than the sum of its proper divisors (22712175360).

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

8241315840 is an frugal number, since it uses more digits than its factorization.

8241315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8241315840 is about 90781.6933087283. The cubic root of 8241315840 is about 2019.9107760479.

The spelling of 8241315840 in words is "eight billion, two hundred forty-one million, three hundred fifteen thousand, eight hundred forty".