444110112 has 144 divisors (see below), whose sum is σ = 1317580992. Its totient is φ = 141765120.

The previous prime is 444110101. The next prime is 444110129. The reversal of 444110112 is 211011444.

444110112 is a `hidden beast` number, since 444 + 110 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756283 + ... + 756869.

It is an arithmetic number, because the mean of its divisors is an integer number (9149868).

Almost surely, 2^444110112 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 444110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658790496).

444110112 is an abundant number, since it is smaller than the sum of its proper divisors (873470880).

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

444110112 is a wasteful number, since it uses less digits than its factorization.

444110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 444110112 is about 21073.9201858601. The cubic root of 444110112 is about 762.9514228106.

Adding to 444110112 its reverse (211011444), we get a palindrome (655121556).

The spelling of 444110112 in words is "four hundred forty-four million, one hundred ten thousand, one hundred twelve".