444213312444 has 72 divisors (see below), whose sum is σ = 1225191921408. Its totient is φ = 134583714720.

The previous prime is 444213312419. The next prime is 444213312449.

444213312444 is a `hidden beast` number, since 44 + 42 + 1 + 331 + 244 + 4 = 666.

444213312444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 444213312399 and 444213312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444213312449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962589 + ... + 2177195.

It is an arithmetic number, because the mean of its divisors is an integer number (17016554464).

Almost surely, 2^444213312444 is an apocalyptic number.

444213312444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444213312444 is an abundant number, since it is smaller than the sum of its proper divisors (780978608964).

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

444213312444 is a wasteful number, since it uses less digits than its factorization.

444213312444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219855 (or 219850 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 444213 and 312444, that added together give a palindrome (756657).

The spelling of 444213312444 in words is "four hundred forty-four billion, two hundred thirteen million, three hundred twelve thousand, four hundred forty-four".