441542245144 has 128 divisors (see below), whose sum is σ = 1120763911680. Its totient is φ = 158796063360.

The previous prime is 441542245139. The next prime is 441542245163.

441542245144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441542245097 and 441542245106.

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, 741127 + ... + 1196809.

It is an arithmetic number, because the mean of its divisors is an integer number (8755968060).

Almost surely, 2^441542245144 is an apocalyptic number.

441542245144 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 441542245144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560381955840).

441542245144 is an abundant number, since it is smaller than the sum of its proper divisors (679221666536).

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

441542245144 is a wasteful number, since it uses less digits than its factorization.

441542245144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455742 (or 455716 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 441542 and 245144, that added together give a palindrome (686686).

The spelling of 441542245144 in words is "four hundred forty-one billion, five hundred forty-two million, two hundred forty-five thousand, one hundred forty-four".