8224141032 has 256 divisors, whose sum is σ = 25067520000. Its totient is φ = 2488631040.

The previous prime is 8224141007. The next prime is 8224141033. The reversal of 8224141032 is 2301414228.

8224141032 is a `hidden beast` number, since 8 + 2 + 241 + 410 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8224140987 and 8224141005.

It is not an unprimeable number, because it can be changed into a prime (8224141033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16157194 + ... + 16157702.

It is an arithmetic number, because the mean of its divisors is an integer number (97920000).

Almost surely, 2^8224141032 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 8224141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533760000).

8224141032 is an abundant number, since it is smaller than the sum of its proper divisors (16843378968).

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

8224141032 is a wasteful number, since it uses less digits than its factorization.

8224141032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

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

The square root of 8224141032 is about 90687.0499685595. The cubic root of 8224141032 is about 2018.5066432079.

The spelling of 8224141032 in words is "eight billion, two hundred twenty-four million, one hundred forty-one thousand, thirty-two".