444034110221312 has 176 divisors, whose sum is σ = 960416637960192. Its totient is φ = 203974086574080.

The previous prime is 444034110221267. The next prime is 444034110221321. The reversal of 444034110221312 is 213122011430444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10827174887 + ... + 10827215897.

Almost surely, 2^{444034110221312} 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 444034110221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480208318980096).

444034110221312 is an abundant number, since it is smaller than the sum of its proper divisors (516382527738880).

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

444034110221312 is a wasteful number, since it uses less digits than its factorization.

444034110221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44854 (or 44836 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 444034110221312 its reverse (213122011430444), we get a palindrome (657156121651756).

The spelling of 444034110221312 in words is "four hundred forty-four trillion, thirty-four billion, one hundred ten million, two hundred twenty-one thousand, three hundred twelve".