441023020320144 has 20 divisors (see below), whose sum is σ = 1139309469160496. Its totient is φ = 147007673440032.

The previous prime is 441023020320097. The next prime is 441023020320221.

441023020320144 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4593989794954 + ... + 4593989795049.

Almost surely, 2^{441023020320144} is an apocalyptic number.

It is an amenable number.

441023020320144 is an abundant number, since it is smaller than the sum of its proper divisors (698286448840352).

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

441023020320144 is a wasteful number, since it uses less digits than its factorization.

441023020320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9187979590014 (or 9187979590008 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 441023020320144 in words is "four hundred forty-one trillion, twenty-three billion, twenty million, three hundred twenty thousand, one hundred forty-four".