444004444000 has 384 divisors, whose sum is σ = 1231133589504. Its totient is φ = 156245760000.

The previous prime is 444004443919. The next prime is 444004444043. The reversal of 444004444000 is 444400444.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 444004444000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108001945 + ... + 108006055.

It is an arithmetic number, because the mean of its divisors is an integer number (3206077056).

Almost surely, 2^444004444000 is an apocalyptic number.

444004444000 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 444004444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615566794752).

444004444000 is an abundant number, since it is smaller than the sum of its proper divisors (787129145504).

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

444004444000 is a wasteful number, since it uses less digits than its factorization.

444004444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4229 counting only the distinct ones).

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

Adding to 444004444000 its reverse (444400444), we get a palindrome (444448844444).

The spelling of 444004444000 in words is "four hundred forty-four billion, four million, four hundred forty-four thousand".