442443322000 has 80 divisors (see below), whose sum is σ = 1073897016192. Its totient is φ = 176304201600.

The previous prime is 442443321997. The next prime is 442443322001. The reversal of 442443322000 is 223344244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 442443322000.

It is not an unprimeable number, because it can be changed into a prime (442443322001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105427 + ... + 946573.

Almost surely, 2^442443322000 is an apocalyptic number.

442443322000 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 442443322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536948508096).

442443322000 is an abundant number, since it is smaller than the sum of its proper divisors (631453694192).

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

442443322000 is a wasteful number, since it uses less digits than its factorization.

442443322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841433 (or 841417 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 442443322000 its reverse (223344244), we get a palindrome (442666666244).

The spelling of 442443322000 in words is "four hundred forty-two billion, four hundred forty-three million, three hundred twenty-two thousand".