422244442224 has 240 divisors, whose sum is σ = 1393652407680. Its totient is φ = 117942013440.

The previous prime is 422244442177. The next prime is 422244442309.

422244442224 is a `hidden beast` number, since 4 + 2 + 224 + 4 + 4 + 422 + 2 + 4 = 666.

422244442224 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 congruent number.

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 47 ways as a sum of consecutive naturals, for example, 923959 + ... + 1303145.

It is an arithmetic number, because the mean of its divisors is an integer number (5806885032).

Almost surely, 2^422244442224 is an apocalyptic number.

422244442224 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 422244442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696826203840).

422244442224 is an abundant number, since it is smaller than the sum of its proper divisors (971407965456).

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

422244442224 is a wasteful number, since it uses less digits than its factorization.

422244442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379268 (or 379259 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

It can be divided in two parts, 422244 and 442224, that added together give a palindrome (864468).

The spelling of 422244442224 in words is "four hundred twenty-two billion, two hundred forty-four million, four hundred forty-two thousand, two hundred twenty-four".