442035251020 has 96 divisors (see below), whose sum is σ = 1028242252800. Its totient is φ = 158269309440.

The previous prime is 442035251017. The next prime is 442035251029. The reversal of 442035251020 is 20152530244.

It is a super-2 number, since 2×442035251020² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442035251020.

It is not an unprimeable number, because it can be changed into a prime (442035251029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40927581 + ... + 40938379.

It is an arithmetic number, because the mean of its divisors is an integer number (10710856800).

Almost surely, 2^442035251020 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 442035251020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514121126400).

442035251020 is an abundant number, since it is smaller than the sum of its proper divisors (586207001780).

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

442035251020 is a wasteful number, since it uses less digits than its factorization.

442035251020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13663 (or 13661 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 442035251020 its reverse (20152530244), we get a palindrome (462187781264).

The spelling of 442035251020 in words is "four hundred forty-two billion, thirty-five million, two hundred fifty-one thousand, twenty".