444224400331121 has 8 divisors (see below), whose sum is σ = 444796402550184. Its totient is φ = 443652547259520.

The previous prime is 444224400331079. The next prime is 444224400331141. The reversal of 444224400331121 is 121133004422444.

It can be written as a sum of positive squares in 4 ways, for example, as 126965570410000 + 317258829921121 = 11267900^2 + 17811761^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-444224400331121 is a prime.

It is a super-2 number, since 2×444224400331121² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444224400331141) 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 7 ways as a sum of consecutive naturals, for example, 31325570 + ... + 43240491.

It is an arithmetic number, because the mean of its divisors is an integer number (55599550318773).

Almost surely, 2^{444224400331121} is an apocalyptic number.

It is an amenable number.

444224400331121 is a deficient number, since it is larger than the sum of its proper divisors (572002219063).

444224400331121 is an equidigital number, since it uses as much as digits as its factorization.

444224400331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74573731.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 444224400331121 its reverse (121133004422444), we get a palindrome (565357404753565).

The spelling of 444224400331121 in words is "four hundred forty-four trillion, two hundred twenty-four billion, four hundred million, three hundred thirty-one thousand, one hundred twenty-one".