8841414120 has 256 divisors, whose sum is σ = 33266350080. Its totient is φ = 1826227200.

The previous prime is 8841414047. The next prime is 8841414149. The reversal of 8841414120 is 214141488.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1595755 + ... + 1601285.

It is an arithmetic number, because the mean of its divisors is an integer number (129946680).

Almost surely, 2^8841414120 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 8841414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633175040).

8841414120 is an abundant number, since it is smaller than the sum of its proper divisors (24424935960).

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

8841414120 is a wasteful number, since it uses less digits than its factorization.

8841414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 8841414120 is about 94028.7941005307. The cubic root of 8841414120 is about 2067.7938735798.

The spelling of 8841414120 in words is "eight billion, eight hundred forty-one million, four hundred fourteen thousand, one hundred twenty".