442405334412 has 96 divisors (see below), whose sum is σ = 1161475224000. Its totient is φ = 147425495040.

The previous prime is 442405334387. The next prime is 442405334429. The reversal of 442405334412 is 214433504244.

442405334412 is a `hidden beast` number, since 4 + 42 + 40 + 533 + 4 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 47663212 + ... + 47672492.

It is an arithmetic number, because the mean of its divisors is an integer number (12098700250).

Almost surely, 2^442405334412 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 442405334412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580737612000).

442405334412 is an abundant number, since it is smaller than the sum of its proper divisors (719069889588).

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

442405334412 is an equidigital number, since it uses as much as digits as its factorization.

442405334412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14755 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 442405334412 its reverse (214433504244), we get a palindrome (656838838656).

The spelling of 442405334412 in words is "four hundred forty-two billion, four hundred five million, three hundred thirty-four thousand, four hundred twelve".