444333333444 has 384 divisors, whose sum is σ = 1449898942464. Its totient is φ = 102187008000.

The previous prime is 444333333403. The next prime is 444333333449.

444333333444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444333333444² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444333333396 and 444333333405.

It is not an unprimeable number, because it can be changed into a prime (444333333449) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31548484 + ... + 31562564.

It is an arithmetic number, because the mean of its divisors is an integer number (3775778496).

Almost surely, 2^444333333444 is an apocalyptic number.

444333333444 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 444333333444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724949471232).

444333333444 is an abundant number, since it is smaller than the sum of its proper divisors (1005565609020).

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

444333333444 is a wasteful number, since it uses less digits than its factorization.

444333333444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14227 (or 14225 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 444333 and 333444, that added together give a palindrome (777777).

The spelling of 444333333444 in words is "four hundred forty-four billion, three hundred thirty-three million, three hundred thirty-three thousand, four hundred forty-four".