442221122244 has 96 divisors (see below), whose sum is σ = 1136592737280. Its totient is φ = 132705475200.

The previous prime is 442221122237. The next prime is 442221122257.

442221122244 is nontrivially palindromic in base 10.

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

It is a zygodrome in base 10.

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, 30653617 + ... + 30668039.

It is an arithmetic number, because the mean of its divisors is an integer number (11839507680).

Almost surely, 2^442221122244 is an apocalyptic number.

442221122244 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 442221122244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568296368640).

442221122244 is an abundant number, since it is smaller than the sum of its proper divisors (694371615036).

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

442221122244 is a wasteful number, since it uses less digits than its factorization.

442221122244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16681 (or 16679 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 442221 and 122244, that added together give a palindrome (564465).

The spelling of 442221122244 in words is "four hundred forty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred forty-four".