442412014242 has 128 divisors (see below), whose sum is σ = 1049392143360. Its totient is φ = 123013175040.

The previous prime is 442412014211. The next prime is 442412014267. The reversal of 442412014242 is 242410214244.

It is a super-2 number, since 2×442412014242² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2972533 + ... + 3117815.

It is an arithmetic number, because the mean of its divisors is an integer number (8198376120).

Almost surely, 2^442412014242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442412014242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524696071680).

442412014242 is an abundant number, since it is smaller than the sum of its proper divisors (606980129118).

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

442412014242 is a wasteful number, since it uses less digits than its factorization.

442412014242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145408.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 442412014242 its reverse (242410214244), we get a palindrome (684822228486).

The spelling of 442412014242 in words is "four hundred forty-two billion, four hundred twelve million, fourteen thousand, two hundred forty-two".