444321214500 has 192 divisors, whose sum is σ = 1333504972800. Its totient is φ = 114895267200.

The previous prime is 444321214499. The next prime is 444321214517. The reversal of 444321214500 is 5412123444.

444321214500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8940721 + ... + 8990279.

It is an arithmetic number, because the mean of its divisors is an integer number (6945338400).

Almost surely, 2^444321214500 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 444321214500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666752486400).

444321214500 is an abundant number, since it is smaller than the sum of its proper divisors (889183758300).

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

444321214500 is a wasteful number, since it uses less digits than its factorization.

444321214500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49763 (or 49751 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 444321214500 its reverse (5412123444), we get a palindrome (449733337944).

The spelling of 444321214500 in words is "four hundred forty-four billion, three hundred twenty-one million, two hundred fourteen thousand, five hundred".