442413314244 has 144 divisors (see below), whose sum is σ = 1296915197760. Its totient is φ = 125750880000.

The previous prime is 442413314227. The next prime is 442413314257.

442413314244 is a `hidden beast` number, since 4 + 4 + 241 + 331 + 42 + 44 = 666.

442413314244 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442413314199 and 442413314208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468834 + ... + 1051014.

It is an arithmetic number, because the mean of its divisors is an integer number (9006355540).

Almost surely, 2^442413314244 is an apocalyptic number.

442413314244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442413314244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648457598880).

442413314244 is an abundant number, since it is smaller than the sum of its proper divisors (854501883516).

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

442413314244 is a wasteful number, since it uses less digits than its factorization.

442413314244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582322 (or 582317 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 442413 and 314244, that added together give a palindrome (756657).

The spelling of 442413314244 in words is "four hundred forty-two billion, four hundred thirteen million, three hundred fourteen thousand, two hundred forty-four".