444220412304 has 160 divisors (see below), whose sum is σ = 1168845796224. Its totient is φ = 145358438400.

The previous prime is 444220412291. The next prime is 444220412327. The reversal of 444220412304 is 403214022444.

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 31 ways as a sum of consecutive naturals, for example, 564447399 + ... + 564448185.

Almost surely, 2^444220412304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444220412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584422898112).

444220412304 is an abundant number, since it is smaller than the sum of its proper divisors (724625383920).

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

444220412304 is a wasteful number, since it uses less digits than its factorization.

444220412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 444220412304 its reverse (403214022444), we get a palindrome (847434434748).

The spelling of 444220412304 in words is "four hundred forty-four billion, two hundred twenty million, four hundred twelve thousand, three hundred four".