444240312042312 has 64 divisors (see below), whose sum is σ = 1246218697209600. Its totient is φ = 146613964363200.

The previous prime is 444240312042281. The next prime is 444240312042379. The reversal of 444240312042312 is 213240213042444.

444240312042312 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 403 + 12 + 0 + 4 + 231 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10181503488 + ... + 10181547119.

It is an arithmetic number, because the mean of its divisors is an integer number (19472167143900).

Almost surely, 2^{444240312042312} is an apocalyptic number.

It is an amenable number.

444240312042312 is an abundant number, since it is smaller than the sum of its proper divisors (801978385167288).

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

444240312042312 is a wasteful number, since it uses less digits than its factorization.

444240312042312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20363050723 (or 20363050713 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444240312042312 its reverse (213240213042444), we get a palindrome (657480525084756).

The spelling of 444240312042312 in words is "four hundred forty-four trillion, two hundred forty billion, three hundred twelve million, forty-two thousand, three hundred twelve".