8441272224 has 384 divisors, whose sum is σ = 31693455360. Its totient is φ = 2121292800.

The previous prime is 8441272207. The next prime is 8441272247. The reversal of 8441272224 is 4222721448.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 2060322 + ... + 2064414.

It is an arithmetic number, because the mean of its divisors is an integer number (82535040).

Almost surely, 2^8441272224 is an apocalyptic number.

8441272224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8441272224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846727680).

8441272224 is an abundant number, since it is smaller than the sum of its proper divisors (23252183136).

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

8441272224 is a wasteful number, since it uses less digits than its factorization.

8441272224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4147 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 8441272224 is about 91876.3964465303. The cubic root of 8441272224 is about 2036.1165566157.

The spelling of 8441272224 in words is "eight billion, four hundred forty-one million, two hundred seventy-two thousand, two hundred twenty-four".