8142168940 has 48 divisors (see below), whose sum is σ = 17582493600. Its totient is φ = 3164908032.

The previous prime is 8142168913. The next prime is 8142168949. The reversal of 8142168940 is 498612418.

It is not an unprimeable number, because it can be changed into a prime (8142168949) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 629256 + ... + 642064.

It is an arithmetic number, because the mean of its divisors is an integer number (366301950).

Almost surely, 2^8142168940 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 8142168940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8791246800).

8142168940 is an abundant number, since it is smaller than the sum of its proper divisors (9440324660).

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

8142168940 is a wasteful number, since it uses less digits than its factorization.

8142168940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13714 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 8142168940 is about 90233.9677726742. The cubic root of 8142168940 is about 2011.7779158636. Note that the first 3 decimals are identical.

The spelling of 8142168940 in words is "eight billion, one hundred forty-two million, one hundred sixty-eight thousand, nine hundred forty".