8231214240 has 288 divisors, whose sum is σ = 30259547136. Its totient is φ = 2031575040.

The previous prime is 8231214227. The next prime is 8231214269. The reversal of 8231214240 is 424121328.

8231214240 is a `hidden beast` number, since 8 + 231 + 2 + 1 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1022712 + ... + 1030728.

It is an arithmetic number, because the mean of its divisors is an integer number (105067872).

Almost surely, 2^8231214240 is an apocalyptic number.

8231214240 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 8231214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15129773568).

8231214240 is an abundant number, since it is smaller than the sum of its proper divisors (22028332896).

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

8231214240 is a wasteful number, since it uses less digits than its factorization.

8231214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8231214240 is about 90726.0394815072. The cubic root of 8231214240 is about 2019.0851525074.

Adding to 8231214240 its reverse (424121328), we get a palindrome (8655335568).

The spelling of 8231214240 in words is "eight billion, two hundred thirty-one million, two hundred fourteen thousand, two hundred forty".