8142391296 has 384 divisors, whose sum is σ = 26637811200. Its totient is φ = 2441871360.

The previous prime is 8142391289. The next prime is 8142391297. The reversal of 8142391296 is 6921932418.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8142391297) by changing a digit.

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, 33785736 + ... + 33785976.

It is an arithmetic number, because the mean of its divisors is an integer number (69369300).

Almost surely, 2^8142391296 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 8142391296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318905600).

8142391296 is an abundant number, since it is smaller than the sum of its proper divisors (18495419904).

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

8142391296 is a wasteful number, since it uses less digits than its factorization.

8142391296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 8142391296 is about 90235.1998723336. The cubic root of 8142391296 is about 2011.7962290355.

The spelling of 8142391296 in words is "eight billion, one hundred forty-two million, three hundred ninety-one thousand, two hundred ninety-six".