442400000020 has 96 divisors (see below), whose sum is σ = 1029260131200. Its totient is φ = 158388672000.

The previous prime is 442399999969. The next prime is 442400000057. The reversal of 442400000020 is 20000004244.

It is a congruent number.

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, 3921766 + ... + 4032994.

It is an arithmetic number, because the mean of its divisors is an integer number (10721459700).

Almost surely, 2^442400000020 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 442400000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514630065600).

442400000020 is an abundant number, since it is smaller than the sum of its proper divisors (586860131180).

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

442400000020 is a wasteful number, since it uses less digits than its factorization.

442400000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111529 (or 111527 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 442400000020 its reverse (20000004244), we get a palindrome (462400004264).

The spelling of 442400000020 in words is "four hundred forty-two billion, four hundred million, twenty", and thus it is an aban number.