444213440000000 has 832 divisors, whose sum is σ = 1224768938020992. Its totient is φ = 159744000000000.

The previous prime is 444213439999993. The next prime is 444213440000089. The reversal of 444213440000000 is 44312444.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341439999350 + ... + 341440000650.

It is an arithmetic number, because the mean of its divisors is an integer number (1472078050506).

Almost surely, 2^{444213440000000} is an apocalyptic number.

444213440000000 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 444213440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612384469010496).

444213440000000 is an abundant number, since it is smaller than the sum of its proper divisors (780555498020992).

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

444213440000000 is an frugal number, since it uses more digits than its factorization.

444213440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1416 counting only the distinct ones).

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

Adding to 444213440000000 its reverse (44312444), we get a palindrome (444213484312444).

The spelling of 444213440000000 in words is "four hundred forty-four trillion, two hundred thirteen billion, four hundred forty million", and thus it is an aban number.