441306545603144 has 128 divisors (see below), whose sum is σ = 910227374179200. Its totient is φ = 199354063472640.

The previous prime is 441306545603141. The next prime is 441306545603149.

441306545603144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441306545603092 and 441306545603101.

It is not an unprimeable number, because it can be changed into a prime (441306545603141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8553587012 + ... + 8553638604.

It is an arithmetic number, because the mean of its divisors is an integer number (7111151360775).

Almost surely, 2^{441306545603144} 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 441306545603144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455113687089600).

441306545603144 is an abundant number, since it is smaller than the sum of its proper divisors (468920828576056).

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

441306545603144 is a wasteful number, since it uses less digits than its factorization.

441306545603144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60895 (or 60891 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 441306545603144 in words is "four hundred forty-one trillion, three hundred six billion, five hundred forty-five million, six hundred three thousand, one hundred forty-four".