444034412411112 has 48 divisors (see below), whose sum is σ = 1205817310809540. Its totient is φ = 147614657200128.

The previous prime is 444034412410997. The next prime is 444034412411129. The reversal of 444034412411112 is 211114214430444.

444034412411112 is a `hidden beast` number, since 4 + 4 + 403 + 4 + 4 + 1 + 241 + 1 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 395323588500516 + 48710823910596 = 19882746^2 + 6979314^2 .

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 11 ways as a sum of consecutive naturals, for example, 8266923033 + ... + 8266976744.

Almost surely, 2^{444034412411112} is an apocalyptic number.

It is an amenable number.

444034412411112 is an abundant number, since it is smaller than the sum of its proper divisors (761782898398428).

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

444034412411112 is a wasteful number, since it uses less digits than its factorization.

444034412411112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16533900162 (or 16533900155 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 444034412411112 its reverse (211114214430444), we get a palindrome (655148626841556).

The spelling of 444034412411112 in words is "four hundred forty-four trillion, thirty-four billion, four hundred twelve million, four hundred eleven thousand, one hundred twelve".