444402204444 has 144 divisors (see below), whose sum is σ = 1265613672960. Its totient is φ = 130320664320.

The previous prime is 444402204419. The next prime is 444402204469.

444402204444 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 0 + 2 + 204 + 444 = 666.

444402204444 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (444402204419) and next prime (444402204469).

It is a super-4 number, since 4×444402204444⁴ (a number of 48 digits) contains 4444 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 = 444402204399 and 444402204408.

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, 1522327 + ... + 1790609.

It is an arithmetic number, because the mean of its divisors is an integer number (8788983840).

Almost surely, 2^444402204444 is an apocalyptic number.

444402204444 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 444402204444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632806836480).

444402204444 is an abundant number, since it is smaller than the sum of its proper divisors (821211468516).

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

444402204444 is a wasteful number, since it uses less digits than its factorization.

444402204444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268440 (or 268435 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, 444402 and 204444, that added together give a palindrome (648846).

The spelling of 444402204444 in words is "four hundred forty-four billion, four hundred two million, two hundred four thousand, four hundred forty-four".