444405213320 has 32 divisors (see below), whose sum is σ = 1000744404120. Its totient is φ = 177614054400.

The previous prime is 444405213293. The next prime is 444405213361. The reversal of 444405213320 is 23312504444.

It can be written as a sum of positive squares in 4 ways, for example, as 169248314404 + 275156898916 = 411398^2 + 524554^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4577327 + ... + 4673406.

Almost surely, 2^444405213320 is an apocalyptic number.

444405213320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444405213320 is an abundant number, since it is smaller than the sum of its proper divisors (556339190800).

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

444405213320 is a wasteful number, since it uses less digits than its factorization.

444405213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251945 (or 9251941 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 444405213320 its reverse (23312504444), we get a palindrome (467717717764).

The spelling of 444405213320 in words is "four hundred forty-four billion, four hundred five million, two hundred thirteen thousand, three hundred twenty".