441081352320 has 256 divisors, whose sum is σ = 1658630062080. Its totient is φ = 97566289920.

The previous prime is 441081352279. The next prime is 441081352337. The reversal of 441081352320 is 23253180144.

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, 112692 + ... + 945971.

It is an arithmetic number, because the mean of its divisors is an integer number (6479023680).

Almost surely, 2^441081352320 is an apocalyptic number.

441081352320 is a gapful number since it is divisible by the number (40) 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 441081352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829315031040).

441081352320 is an abundant number, since it is smaller than the sum of its proper divisors (1217548709760).

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

441081352320 is a wasteful number, since it uses less digits than its factorization.

441081352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058723 (or 1058711 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 441081352320 in words is "four hundred forty-one billion, eighty-one million, three hundred fifty-two thousand, three hundred twenty".