444104232224020 has 48 divisors (see below), whose sum is σ = 936980425212048. Its totient is φ = 176812286883840.

The previous prime is 444104232223997. The next prime is 444104232224027. The reversal of 444104232224020 is 20422232401444.

It can be written as a sum of positive squares in 8 ways, for example, as 79982042519824 + 364122189704196 = 8943268^2 + 19081986^2 .

It is a super-4 number, since 4×444104232224020⁴ (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444104232224027) 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 15 ways as a sum of consecutive naturals, for example, 37381557 + ... + 47807836.

It is an arithmetic number, because the mean of its divisors is an integer number (19520425525251).

Almost surely, 2^{444104232224020} is an apocalyptic number.

It is an amenable number.

444104232224020 is an abundant number, since it is smaller than the sum of its proper divisors (492876192988028).

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

444104232224020 is a wasteful number, since it uses less digits than its factorization.

444104232224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85190620 (or 85190618 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 444104232224020 its reverse (20422232401444), we get a palindrome (464526464625464).

The spelling of 444104232224020 in words is "four hundred forty-four trillion, one hundred four billion, two hundred thirty-two million, two hundred twenty-four thousand, twenty".