442112341031020 has 96 divisors (see below), whose sum is σ = 1066454587296000. Its totient is φ = 152262632275200.

The previous prime is 442112341031003. The next prime is 442112341031047. The reversal of 442112341031020 is 20130143211244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442112341031020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813070 + ... + 29747029.

It is an arithmetic number, because the mean of its divisors is an integer number (11108901951000).

Almost surely, 2^{442112341031020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442112341031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533227293648000).

442112341031020 is an abundant number, since it is smaller than the sum of its proper divisors (624342246264980).

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

442112341031020 is a wasteful number, since it uses less digits than its factorization.

442112341031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30563599 (or 30563597 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 442112341031020 its reverse (20130143211244), we get a palindrome (462242484242264).

The spelling of 442112341031020 in words is "four hundred forty-two trillion, one hundred twelve billion, three hundred forty-one million, thirty-one thousand, twenty".