441331133144 has 128 divisors (see below), whose sum is σ = 994853664000. Its totient is φ = 181281139200.

The previous prime is 441331133101. The next prime is 441331133183.

441331133144 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×441331133144³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441331133144.

It is a congruent number.

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, 3969674 + ... + 4079334.

It is an arithmetic number, because the mean of its divisors is an integer number (7772294250).

Almost surely, 2^441331133144 is an apocalyptic number.

441331133144 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 441331133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497426832000).

441331133144 is an abundant number, since it is smaller than the sum of its proper divisors (553522530856).

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

441331133144 is a wasteful number, since it uses less digits than its factorization.

441331133144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109809 (or 109805 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 441331 and 133144, that added together give a palindrome (574475).

The spelling of 441331133144 in words is "four hundred forty-one billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred forty-four".