42444322021000 has 128 divisors (see below), whose sum is σ = 100654357939200. Its totient is φ = 16749915436800.

The previous prime is 42444322020979. The next prime is 42444322021027. The reversal of 42444322021000 is 12022344424.

42444322021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42444322021000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102730834 + ... + 103143166.

It is an arithmetic number, because the mean of its divisors is an integer number (786362171400).

Almost surely, 2^{42444322021000} is an apocalyptic number.

42444322021000 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 42444322021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50327178969600).

42444322021000 is an abundant number, since it is smaller than the sum of its proper divisors (58210035918200).

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

42444322021000 is a wasteful number, since it uses less digits than its factorization.

42444322021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413736 (or 413722 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42444322021000 its reverse (12022344424), we get a palindrome (42456344365424).

The spelling of 42444322021000 in words is "forty-two trillion, four hundred forty-four billion, three hundred twenty-two million, twenty-one thousand".