441958020859144 has 128 divisors (see below), whose sum is σ = 868942448375040. Its totient is φ = 210592050020352.

The previous prime is 441958020859123. The next prime is 441958020859163.

441958020859144 is nontrivially palindromic in base 10.

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, 681439464 + ... + 682087720.

It is an arithmetic number, because the mean of its divisors is an integer number (6788612877930).

Almost surely, 2^{441958020859144} is an apocalyptic number.

It is an amenable number.

441958020859144 is a deficient number, since it is larger than the sum of its proper divisors (426984427515896).

441958020859144 is a wasteful number, since it uses less digits than its factorization.

441958020859144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648719 (or 648715 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 64.

The spelling of 441958020859144 in words is "four hundred forty-one trillion, nine hundred fifty-eight billion, twenty million, eight hundred fifty-nine thousand, one hundred forty-four".