441162215668704 has 96 divisors (see below), whose sum is σ = 1166198291306496. Its totient is φ = 146020711749120.

The previous prime is 441162215668679. The next prime is 441162215668709. The reversal of 441162215668704 is 407866512261144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441162215668709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13088049 + ... + 32459535.

It is an arithmetic number, because the mean of its divisors is an integer number (12147898867776).

Almost surely, 2^{441162215668704} 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 441162215668704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583099145653248).

441162215668704 is an abundant number, since it is smaller than the sum of its proper divisors (725036075637792).

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

441162215668704 is a wasteful number, since it uses less digits than its factorization.

441162215668704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19373168 (or 19373160 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 441162215668704 in words is "four hundred forty-one trillion, one hundred sixty-two billion, two hundred fifteen million, six hundred sixty-eight thousand, seven hundred four".