444212212444 has 144 divisors (see below), whose sum is σ = 1063105265376. Its totient is φ = 159647846400.

The previous prime is 444212212421. The next prime is 444212212453.

444212212444 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49128564 + ... + 49137604.

It is an arithmetic number, because the mean of its divisors is an integer number (7382675454).

Almost surely, 2^444212212444 is an apocalyptic number.

444212212444 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 444212212444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531552632688).

444212212444 is an abundant number, since it is smaller than the sum of its proper divisors (618893052932).

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

444212212444 is a wasteful number, since it uses less digits than its factorization.

444212212444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 10827 counting only the distinct ones).

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

It can be divided in two parts, 444212 and 212444, that added together give a palindrome (656656).

The spelling of 444212212444 in words is "four hundred forty-four billion, two hundred twelve million, two hundred twelve thousand, four hundred forty-four".