8141274288 has 120 divisors (see below), whose sum is σ = 26332020000. Its totient is φ = 2299917312.

The previous prime is 8141274277. The next prime is 8141274289. The reversal of 8141274288 is 8824721418.

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 (8141274289) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44338 + ... + 135086.

It is an arithmetic number, because the mean of its divisors is an integer number (219433500).

Almost surely, 2^8141274288 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 8141274288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166010000).

8141274288 is an abundant number, since it is smaller than the sum of its proper divisors (18190745712).

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

8141274288 is a wasteful number, since it uses less digits than its factorization.

8141274288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90859 (or 90850 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 8141274288 is about 90229.0102350680. The cubic root of 8141274288 is about 2011.7042292299.

The spelling of 8141274288 in words is "eight billion, one hundred forty-one million, two hundred seventy-four thousand, two hundred eighty-eight".