442241819712 has 1764 divisors, whose sum is σ = 1800696269568. Its totient is φ = 105311923200.

The previous prime is 442241819699. The next prime is 442241819749. The reversal of 442241819712 is 217918142244.

442241819712 is a `hidden beast` number, since 4 + 42 + 2 + 418 + 197 + 1 + 2 = 666.

It is a super-2 number, since 2×442241819712² (a number of 24 digits) contains 22 as substring.

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

Its product of digits (258048) is a multiple of the sum of its prime factors (128).

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 251 ways as a sum of consecutive naturals, for example, 14265865137 + ... + 14265865167.

Almost surely, 2^442241819712 is an apocalyptic number.

442241819712 is a gapful number since it is divisible by the number (42) 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 442241819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900348134784).

442241819712 is an abundant number, since it is smaller than the sum of its proper divisors (1358454449856).

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

442241819712 is a wasteful number, since it uses less digits than its factorization.

442241819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 73 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 442241819712 in words is "four hundred forty-two billion, two hundred forty-one million, eight hundred nineteen thousand, seven hundred twelve".