441450177221616 has 160 divisors (see below), whose sum is σ = 1159466707238400. Its totient is φ = 144699447889920.

The previous prime is 441450177221609. The next prime is 441450177221617. The reversal of 441450177221616 is 616122771054144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441450177221617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4273880500 + ... + 4273983788.

It is an arithmetic number, because the mean of its divisors is an integer number (7246666920240).

Almost surely, 2^{441450177221616} 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 441450177221616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579733353619200).

441450177221616 is an abundant number, since it is smaller than the sum of its proper divisors (718016530016784).

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

441450177221616 is a wasteful number, since it uses less digits than its factorization.

441450177221616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105687 (or 105681 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 441450177221616 in words is "four hundred forty-one trillion, four hundred fifty billion, one hundred seventy-seven million, two hundred twenty-one thousand, six hundred sixteen".