441332343423444 has 192 divisors, whose sum is σ = 1202612644380672. Its totient is φ = 124487395891200.

The previous prime is 441332343423409. The next prime is 441332343423449. The reversal of 441332343423444 is 444324343233144.

It is a super-2 number, since 2×441332343423444² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441332343423393 and 441332343423402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441332343423449) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 71172489 + ... + 77124495.

It is an arithmetic number, because the mean of its divisors is an integer number (6263607522816).

Almost surely, 2^{441332343423444} is an apocalyptic number.

441332343423444 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 441332343423444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601306322190336).

441332343423444 is an abundant number, since it is smaller than the sum of its proper divisors (761280300957228).

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

441332343423444 is a wasteful number, since it uses less digits than its factorization.

441332343423444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952406 (or 5952404 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 48.

Adding to 441332343423444 its reverse (444324343233144), we get a palindrome (885656686656588).

The spelling of 441332343423444 in words is "four hundred forty-one trillion, three hundred thirty-two billion, three hundred forty-three million, four hundred twenty-three thousand, four hundred forty-four".