8012431086240 has 288 divisors, whose sum is σ = 30153349142784. Its totient is φ = 1781914982400.

The previous prime is 8012431086227. The next prime is 8012431086259. The reversal of 8012431086240 is 426801342108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3733336 + ... + 5473815.

It is an arithmetic number, because the mean of its divisors is an integer number (104699128968).

Almost surely, 2^{8012431086240} is an apocalyptic number.

8012431086240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8012431086240 is an abundant number, since it is smaller than the sum of its proper divisors (22140918056544).

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

8012431086240 is a wasteful number, since it uses less digits than its factorization.

8012431086240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9207220 (or 9207205 counting only the distinct ones).

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

The spelling of 8012431086240 in words is "eight trillion, twelve billion, four hundred thirty-one million, eighty-six thousand, two hundred forty".