444014030000 has 100 divisors (see below), whose sum is σ = 1075392576720. Its totient is φ = 177541152000.

The previous prime is 444014029981. The next prime is 444014030011. The reversal of 444014030000 is 30410444.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35263706 + ... + 35276294.

Almost surely, 2^444014030000 is an apocalyptic number.

444014030000 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 444014030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537696288360).

444014030000 is an abundant number, since it is smaller than the sum of its proper divisors (631378546720).

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

444014030000 is a wasteful number, since it uses less digits than its factorization.

444014030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16144 (or 16123 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 444014030000 its reverse (30410444), we get a palindrome (444044440444).

The spelling of 444014030000 in words is "four hundred forty-four billion, fourteen million, thirty thousand".