441623326144 has 168 divisors, whose sum is σ = 1183100024448. Its totient is φ = 158825272320.

The previous prime is 441623326129. The next prime is 441623326147.

441623326144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441623326097 and 441623326106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441623326147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567699 + ... + 1097965.

Almost surely, 2^441623326144 is an apocalyptic number.

441623326144 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 441623326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591550012224).

441623326144 is an abundant number, since it is smaller than the sum of its proper divisors (741476698304).

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

441623326144 is a wasteful number, since it uses less digits than its factorization.

441623326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530323 (or 530300 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 441623 and 326144, that added together give a palindrome (767767).

The spelling of 441623326144 in words is "four hundred forty-one billion, six hundred twenty-three million, three hundred twenty-six thousand, one hundred forty-four".