441020020144 has 80 divisors (see below), whose sum is σ = 937832224896. Its totient is φ = 199245939200.

The previous prime is 441020020139. The next prime is 441020020163.

441020020144 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×441020020144³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 24641439 + ... + 24659329.

Almost surely, 2^441020020144 is an apocalyptic number.

441020020144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441020020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468916112448).

441020020144 is an abundant number, since it is smaller than the sum of its proper divisors (496812204752).

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

441020020144 is a wasteful number, since it uses less digits than its factorization.

441020020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18754 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 4410200 and 20144, that added together give a palindrome (4430344).

The spelling of 441020020144 in words is "four hundred forty-one billion, twenty million, twenty thousand, one hundred forty-four".