442220626000 has 80 divisors (see below), whose sum is σ = 1132188941520. Its totient is φ = 166483046400.

The previous prime is 442220625989. The next prime is 442220626079. The reversal of 442220626000 is 626022244.

It can be written as a sum of positive squares in 8 ways, for example, as 57865264704 + 384355361296 = 240552^2 + 619964^2 .

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 442220626000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6469245 + ... + 6537244.

It is an arithmetic number, because the mean of its divisors is an integer number (14152361769).

Almost surely, 2^442220626000 is an apocalyptic number.

442220626000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442220626000 is an abundant number, since it is smaller than the sum of its proper divisors (689968315520).

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

442220626000 is a wasteful number, since it uses less digits than its factorization.

442220626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13006529 (or 13006513 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 442220626000 its reverse (626022244), we get a palindrome (442846648244).

The spelling of 442220626000 in words is "four hundred forty-two billion, two hundred twenty million, six hundred twenty-six thousand".