444272272444 has 192 divisors, whose sum is σ = 1087493299200. Its totient is φ = 153235814400.

The previous prime is 444272272441. The next prime is 444272272453.

444272272444 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 444272272394 and 444272272403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444272272441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9662742 + ... + 9708610.

It is an arithmetic number, because the mean of its divisors is an integer number (5664027600).

Almost surely, 2^444272272444 is an apocalyptic number.

444272272444 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 444272272444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543746649600).

444272272444 is an abundant number, since it is smaller than the sum of its proper divisors (643221026756).

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

444272272444 is a wasteful number, since it uses less digits than its factorization.

444272272444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46004 (or 46002 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 46.

The spelling of 444272272444 in words is "four hundred forty-four billion, two hundred seventy-two million, two hundred seventy-two thousand, four hundred forty-four".