444311122412034 has 80 divisors (see below), whose sum is σ = 1000764756101880. Its totient is φ = 147333350062080.

The previous prime is 444311122412029. The next prime is 444311122412071. The reversal of 444311122412034 is 430214221113444.

444311122412034 is a `hidden beast` number, since 4 + 4 + 431 + 1 + 12 + 2 + 4 + 1 + 203 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118732295709225 + 325578826702809 = 10896435^2 + 18043803^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444311122412034.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1982808952 + ... + 1983033020.

Almost surely, 2^{444311122412034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444311122412034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500382378050940).

444311122412034 is an abundant number, since it is smaller than the sum of its proper divisors (556453633689846).

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

444311122412034 is a wasteful number, since it uses less digits than its factorization.

444311122412034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287697 (or 287688 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 444311122412034 its reverse (430214221113444), we get a palindrome (874525343525478).

The spelling of 444311122412034 in words is "four hundred forty-four trillion, three hundred eleven billion, one hundred twenty-two million, four hundred twelve thousand, thirty-four".