441323241414 has 128 divisors (see below), whose sum is σ = 1038517272576. Its totient is φ = 123631728000.

The previous prime is 441323241413. The next prime is 441323241427. The reversal of 441323241414 is 414142323144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441323241413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38628907 + ... + 38640329.

It is an arithmetic number, because the mean of its divisors is an integer number (8113416192).

Almost surely, 2^441323241414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441323241414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519258636288).

441323241414 is an abundant number, since it is smaller than the sum of its proper divisors (597194031162).

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

441323241414 is a wasteful number, since it uses less digits than its factorization.

441323241414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12314.

The product of its digits is 36864, while the sum is 33.

Adding to 441323241414 its reverse (414142323144), we get a palindrome (855465564558).

The spelling of 441323241414 in words is "four hundred forty-one billion, three hundred twenty-three million, two hundred forty-one thousand, four hundred fourteen".