441517224064 has 128 divisors (see below), whose sum is σ = 1016390897280. Its totient is φ = 187127193600.

The previous prime is 441517224047. The next prime is 441517224107. The reversal of 441517224064 is 460422715144.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93480007 + ... + 93484729.

It is an arithmetic number, because the mean of its divisors is an integer number (7940553885).

Almost surely, 2^441517224064 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 441517224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508195448640).

441517224064 is an abundant number, since it is smaller than the sum of its proper divisors (574873673216).

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

441517224064 is a wasteful number, since it uses less digits than its factorization.

441517224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 441517224064 in words is "four hundred forty-one billion, five hundred seventeen million, two hundred twenty-four thousand, sixty-four".