441143341144 has 96 divisors (see below), whose sum is σ = 915653732400. Its totient is φ = 197586915840.

The previous prime is 441143341139. The next prime is 441143341157.

441143341144 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503013634 + ... + 503014510.

Almost surely, 2^441143341144 is an apocalyptic number.

441143341144 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 441143341144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457826866200).

441143341144 is an abundant number, since it is smaller than the sum of its proper divisors (474510391256).

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

441143341144 is a wasteful number, since it uses less digits than its factorization.

441143341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1228 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 441143 and 341144, that added together give a palindrome (782287).

The spelling of 441143341144 in words is "four hundred forty-one billion, one hundred forty-three million, three hundred forty-one thousand, one hundred forty-four".