442005500244 has 96 divisors (see below), whose sum is σ = 1287590363136. Its totient is φ = 114649822080.

The previous prime is 442005500221. The next prime is 442005500263.

442005500244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 350989 + ... + 1003595.

It is an arithmetic number, because the mean of its divisors is an integer number (13412399616).

Almost surely, 2^442005500244 is an apocalyptic number.

442005500244 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 442005500244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643795181568).

442005500244 is an abundant number, since it is smaller than the sum of its proper divisors (845584862892).

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

442005500244 is a wasteful number, since it uses less digits than its factorization.

442005500244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653365 (or 653363 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 442005 and 500244, that added together give a palindrome (942249).

The spelling of 442005500244 in words is "four hundred forty-two billion, five million, five hundred thousand, two hundred forty-four".