442414221192 has 128 divisors (see below), whose sum is σ = 1260334080000. Its totient is φ = 143729022528.

The previous prime is 442414221191. The next prime is 442414221199. The reversal of 442414221192 is 291122414244.

442414221192 is a `hidden beast` number, since 4 + 4 + 2 + 41 + 422 + 1 + 192 = 666.

It is a super-2 number, since 2×442414221192² (a number of 24 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (442414221191) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2335159 + ... + 2517497.

It is an arithmetic number, because the mean of its divisors is an integer number (9846360000).

Almost surely, 2^442414221192 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 442414221192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630167040000).

442414221192 is an abundant number, since it is smaller than the sum of its proper divisors (817919858808).

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

442414221192 is a wasteful number, since it uses less digits than its factorization.

442414221192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182640 (or 182630 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 442414221192 in words is "four hundred forty-two billion, four hundred fourteen million, two hundred twenty-one thousand, one hundred ninety-two".