444440821110 has 256 divisors, whose sum is σ = 1280089101312. Its totient is φ = 97326028800.

The previous prime is 444440821091. The next prime is 444440821127. The reversal of 444440821110 is 11128044444.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95720449 + ... + 95725091.

It is an arithmetic number, because the mean of its divisors is an integer number (5000348052).

Almost surely, 2^444440821110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444440821110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640044550656).

444440821110 is an abundant number, since it is smaller than the sum of its proper divisors (835648280202).

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

444440821110 is a wasteful number, since it uses less digits than its factorization.

444440821110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151.

The product of its (nonzero) digits is 16384, while the sum is 33.

Adding to 444440821110 its reverse (11128044444), we get a palindrome (455568865554).

The spelling of 444440821110 in words is "four hundred forty-four billion, four hundred forty million, eight hundred twenty-one thousand, one hundred ten".