442432214432 has 96 divisors (see below), whose sum is σ = 945473715648. Its totient is φ = 202586075136.

The previous prime is 442432214407. The next prime is 442432214449. The reversal of 442432214432 is 234412234244.

It is a junction number, because it is equal to n+sod(n) for n = 442432214392 and 442432214401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40204643 + ... + 40215645.

It is an arithmetic number, because the mean of its divisors is an integer number (9848684538).

Almost surely, 2^442432214432 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 442432214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472736857824).

442432214432 is an abundant number, since it is smaller than the sum of its proper divisors (503041501216).

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

442432214432 is a wasteful number, since it uses less digits than its factorization.

442432214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11782 (or 11774 counting only the distinct ones).

The product of its digits is 147456, while the sum is 35.

Adding to 442432214432 its reverse (234412234244), we get a palindrome (676844448676).

The spelling of 442432214432 in words is "four hundred forty-two billion, four hundred thirty-two million, two hundred fourteen thousand, four hundred thirty-two".