444444004000 has 96 divisors (see below), whose sum is σ = 1092696735312. Its totient is φ = 177664000000.

The previous prime is 444444003989. The next prime is 444444004001. The reversal of 444444004000 is 400444444.

It can be written as a sum of positive squares in 8 ways, for example, as 154987091856 + 289456912144 = 393684^2 + 538012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444444004000.

It is not an unprimeable number, because it can be changed into a prime (444444004001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6369300 + ... + 6438700.

Almost surely, 2^444444004000 is an apocalyptic number.

444444004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444444004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546348367656).

444444004000 is an abundant number, since it is smaller than the sum of its proper divisors (648252731312).

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

444444004000 is a wasteful number, since it uses less digits than its factorization.

444444004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71027 (or 71009 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 444444004000 its reverse (400444444), we get a palindrome (444844448444).

The spelling of 444444004000 in words is "four hundred forty-four billion, four hundred forty-four million, four thousand".