444213224000 has 672 divisors, whose sum is σ = 1401712472160. Its totient is φ = 138184704000.

The previous prime is 444213223969. The next prime is 444213224003. The reversal of 444213224000 is 422312444.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 428993560576 + 15219663424 = 654976^2 + 123368^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444213224003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310855286 + ... + 310856714.

It is an arithmetic number, because the mean of its divisors is an integer number (2085881655).

Almost surely, 2^444213224000 is an apocalyptic number.

444213224000 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 444213224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700856236080).

444213224000 is an abundant number, since it is smaller than the sum of its proper divisors (957499248160).

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

444213224000 is a wasteful number, since it uses less digits than its factorization.

444213224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 444213224000 its reverse (422312444), we get a palindrome (444635536444).

The spelling of 444213224000 in words is "four hundred forty-four billion, two hundred thirteen million, two hundred twenty-four thousand".