441444133404 has 72 divisors (see below), whose sum is σ = 1135680000000. Its totient is φ = 144540021024.

The previous prime is 441444133399. The next prime is 441444133423. The reversal of 441444133404 is 404331444144.

441444133404 is a `hidden beast` number, since 4 + 41 + 444 + 133 + 40 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2635347 + ... + 2797845.

Almost surely, 2^441444133404 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 441444133404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567840000000).

441444133404 is an abundant number, since it is smaller than the sum of its proper divisors (694235866596).

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

441444133404 is a wasteful number, since it uses less digits than its factorization.

441444133404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163847 (or 163842 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 441444133404 its reverse (404331444144), we get a palindrome (845775577548).

The spelling of 441444133404 in words is "four hundred forty-one billion, four hundred forty-four million, one hundred thirty-three thousand, four hundred four".