441022220144 has 80 divisors (see below), whose sum is σ = 941265826560. Its totient is φ = 198508116480.

The previous prime is 441022220117. The next prime is 441022220153.

It is a happy number.

441022220144 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78206477 + ... + 78212115.

It is an arithmetic number, because the mean of its divisors is an integer number (11765822832).

Almost surely, 2^441022220144 is an apocalyptic number.

441022220144 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 441022220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470632913280).

441022220144 is an abundant number, since it is smaller than the sum of its proper divisors (500243606416).

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

441022220144 is a wasteful number, since it uses less digits than its factorization.

441022220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 441022 and 220144, that added together give a palindrome (661166).

The spelling of 441022220144 in words is "four hundred forty-one billion, twenty-two million, two hundred twenty thousand, one hundred forty-four".