444442442010320 has 40 divisors (see below), whose sum is σ = 1112815499036136. Its totient is φ = 164101824741888.

The previous prime is 444442442010289. The next prime is 444442442010377. The reversal of 444442442010320 is 23010244244444.

It can be written as a sum of positive squares in 4 ways, for example, as 61614399066256 + 382828042944064 = 7849484^2 + 19565992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213674249927 + ... + 213674252006.

Almost surely, 2^{444442442010320} is an apocalyptic number.

444442442010320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444442442010320 is an abundant number, since it is smaller than the sum of its proper divisors (668373057025816).

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

444442442010320 is a wasteful number, since it uses less digits than its factorization.

444442442010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427348501959 (or 427348501953 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 444442442010320 its reverse (23010244244444), we get a palindrome (467452686254764).

The spelling of 444442442010320 in words is "four hundred forty-four trillion, four hundred forty-two billion, four hundred forty-two million, ten thousand, three hundred twenty".