444004404000 has 96 divisors (see below), whose sum is σ = 1454558466816. Its totient is φ = 118401171200.

The previous prime is 444004403971. The next prime is 444004404047. The reversal of 444004404000 is 404400444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18488184 + ... + 18512183.

It is an arithmetic number, because the mean of its divisors is an integer number (15151650696).

Almost surely, 2^444004404000 is an apocalyptic number.

444004404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444004404000 is an abundant number, since it is smaller than the sum of its proper divisors (1010554062816).

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

444004404000 is a wasteful number, since it uses less digits than its factorization.

444004404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37000395 (or 37000377 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444004404000 its reverse (404400444), we get a palindrome (444408804444).

The spelling of 444004404000 in words is "four hundred forty-four billion, four million, four hundred four thousand".