444420024444 has 324 divisors, whose sum is σ = 1288644074536. Its totient is φ = 128951222400.

The previous prime is 444420024427. The next prime is 444420024449.

444420024444 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 200 + 2 + 4 + 444 = 666.

444420024444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×444420024444³ (a number of 36 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 444420024399 and 444420024408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444420024449) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 812467779 + ... + 812468325.

Almost surely, 2^444420024444 is an apocalyptic number.

444420024444 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 444420024444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644322037268).

444420024444 is an abundant number, since it is smaller than the sum of its proper divisors (844224050092).

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

444420024444 is a wasteful number, since it uses less digits than its factorization.

444420024444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 4444200 and 24444, that added together give a palindrome (4468644).

The spelling of 444420024444 in words is "four hundred forty-four billion, four hundred twenty million, twenty-four thousand, four hundred forty-four".