442003443000 has 512 divisors, whose sum is σ = 1689098711040. Its totient is φ = 94021171200.

The previous prime is 442003442953. The next prime is 442003443019. The reversal of 442003443000 is 344300244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17858634 + ... + 17883366.

It is an arithmetic number, because the mean of its divisors is an integer number (3299020920).

Almost surely, 2^442003443000 is an apocalyptic number.

442003443000 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 442003443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844549355520).

442003443000 is an abundant number, since it is smaller than the sum of its proper divisors (1247095268040).

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

442003443000 is a wasteful number, since it uses less digits than its factorization.

442003443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24824 (or 24810 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 442003443000 its reverse (344300244), we get a palindrome (442347743244).

The spelling of 442003443000 in words is "four hundred forty-two billion, three million, four hundred forty-three thousand".