444072800321 has 8 divisors (see below), whose sum is σ = 447825853440. Its totient is φ = 440323753968.

The previous prime is 444072800279. The next prime is 444072800363. The reversal of 444072800321 is 123008270444.

It is an interprime number because it is at equal distance from previous prime (444072800279) and next prime (444072800363).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444072800321 - 2⁶ = 444072800257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444072800371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778886 + ... + 1222623.

It is an arithmetic number, because the mean of its divisors is an integer number (55978231680).

Almost surely, 2^444072800321 is an apocalyptic number.

It is an amenable number.

444072800321 is a deficient number, since it is larger than the sum of its proper divisors (3753053119).

444072800321 is a wasteful number, since it uses less digits than its factorization.

444072800321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003383.

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 444072800321 in words is "four hundred forty-four billion, seventy-two million, eight hundred thousand, three hundred twenty-one".