442031014020 has 144 divisors (see below), whose sum is σ = 1295491280832. Its totient is φ = 112605968640.

The previous prime is 442031013979. The next prime is 442031014037. The reversal of 442031014020 is 20410130244.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26050059 + ... + 26067021.

It is an arithmetic number, because the mean of its divisors is an integer number (8996467228).

Almost surely, 2^442031014020 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 442031014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647745640416).

442031014020 is an abundant number, since it is smaller than the sum of its proper divisors (853460266812).

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

442031014020 is a wasteful number, since it uses less digits than its factorization.

442031014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842 (or 17817 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 442031014020 its reverse (20410130244), we get a palindrome (462441144264).

The spelling of 442031014020 in words is "four hundred forty-two billion, thirty-one million, fourteen thousand, twenty".