422413444314224 has 120 divisors (see below), whose sum is σ = 918839936105280. Its totient is φ = 187898905300480.

The previous prime is 422413444314167. The next prime is 422413444314287.

422413444314224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790726442 + ... + 791260470.

It is an arithmetic number, because the mean of its divisors is an integer number (7656999467544).

Almost surely, 2^{422413444314224} is an apocalyptic number.

422413444314224 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 422413444314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459419968052640).

422413444314224 is an abundant number, since it is smaller than the sum of its proper divisors (496426491791056).

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

422413444314224 is a wasteful number, since it uses less digits than its factorization.

422413444314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542799 (or 542782 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

The spelling of 422413444314224 in words is "four hundred twenty-two trillion, four hundred thirteen billion, four hundred forty-four million, three hundred fourteen thousand, two hundred twenty-four".