8441819904 has 288 divisors, whose sum is σ = 27220193280. Its totient is φ = 2270416896.

The previous prime is 8441819843. The next prime is 8441819929. The reversal of 8441819904 is 4099181448.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8283907 + ... + 8284925.

It is an arithmetic number, because the mean of its divisors is an integer number (94514560).

Almost surely, 2^8441819904 is an apocalyptic number.

8441819904 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 8441819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610096640).

8441819904 is an abundant number, since it is smaller than the sum of its proper divisors (18778373376).

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

8441819904 is a wasteful number, since it uses less digits than its factorization.

8441819904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 8441819904 is about 91879.3769243131. The cubic root of 8441819904 is about 2036.1605909022.

The spelling of 8441819904 in words is "eight billion, four hundred forty-one million, eight hundred nineteen thousand, nine hundred four".