442230401420 has 96 divisors (see below), whose sum is σ = 982093787136. Its totient is φ = 167007456000.

The previous prime is 442230401399. The next prime is 442230401443. The reversal of 442230401420 is 24104032244.

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 442230401420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23638070 + ... + 23656770.

It is an arithmetic number, because the mean of its divisors is an integer number (10230143616).

Almost surely, 2^442230401420 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 442230401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491046893568).

442230401420 is an abundant number, since it is smaller than the sum of its proper divisors (539863385716).

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

442230401420 is a wasteful number, since it uses less digits than its factorization.

442230401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19671 (or 19669 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 442230401420 its reverse (24104032244), we get a palindrome (466334433664).

The spelling of 442230401420 in words is "four hundred forty-two billion, two hundred thirty million, four hundred one thousand, four hundred twenty".