441242242144 has 96 divisors (see below), whose sum is σ = 950654880000. Its totient is φ = 199933693440.

The previous prime is 441242242093. The next prime is 441242242151.

441242242144 is nontrivially palindromic in base 10.

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

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 15 ways as a sum of consecutive naturals, for example, 210214407 + ... + 210216505.

It is an arithmetic number, because the mean of its divisors is an integer number (9902655000).

Almost surely, 2^441242242144 is an apocalyptic number.

441242242144 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 441242242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475327440000).

441242242144 is an abundant number, since it is smaller than the sum of its proper divisors (509412637856).

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

441242242144 is a wasteful number, since it uses less digits than its factorization.

441242242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3708 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 441242 and 242144, that added together give a palindrome (683386).

The spelling of 441242242144 in words is "four hundred forty-one billion, two hundred forty-two million, two hundred forty-two thousand, one hundred forty-four".