442104214112 has 96 divisors (see below), whose sum is σ = 1001253052800. Its totient is φ = 190044748800.

The previous prime is 442104214109. The next prime is 442104214157. The reversal of 442104214112 is 211412401244.

It is a super-2 number, since 2×442104214112² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3760964 + ... + 3876732.

It is an arithmetic number, because the mean of its divisors is an integer number (10429719300).

Almost surely, 2^442104214112 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 442104214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500626526400).

442104214112 is an abundant number, since it is smaller than the sum of its proper divisors (559148838688).

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

442104214112 is a wasteful number, since it uses less digits than its factorization.

442104214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116380 (or 116372 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 442104214112 its reverse (211412401244), we get a palindrome (653516615356).

The spelling of 442104214112 in words is "four hundred forty-two billion, one hundred four million, two hundred fourteen thousand, one hundred twelve".