444074441104 has 60 divisors (see below), whose sum is σ = 1001000467584. Its totient is φ = 190292192832.

The previous prime is 444074441059. The next prime is 444074441113. The reversal of 444074441104 is 401144470444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6570009 + ... + 6637255.

Almost surely, 2^444074441104 is an apocalyptic number.

It is an amenable number.

444074441104 is an abundant number, since it is smaller than the sum of its proper divisors (556926026480).

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

444074441104 is a wasteful number, since it uses less digits than its factorization.

444074441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75692 (or 75679 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 37.

The spelling of 444074441104 in words is "four hundred forty-four billion, seventy-four million, four hundred forty-one thousand, one hundred four".