444220200312 has 64 divisors (see below), whose sum is σ = 1300156704000. Its totient is φ = 123824444160.

The previous prime is 444220200251. The next prime is 444220200313. The reversal of 444220200312 is 213002022444.

It is a super-3 number, since 3×444220200312³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444220200313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32239062 + ... + 32252837.

It is an arithmetic number, because the mean of its divisors is an integer number (20314948500).

Almost surely, 2^444220200312 is an apocalyptic number.

444220200312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

444220200312 is an abundant number, since it is smaller than the sum of its proper divisors (855936503688).

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

444220200312 is a wasteful number, since it uses less digits than its factorization.

444220200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64491956 (or 64491952 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444220200312 its reverse (213002022444), we get a palindrome (657222222756).

The spelling of 444220200312 in words is "four hundred forty-four billion, two hundred twenty million, two hundred thousand, three hundred twelve".