422402204224 has 224 divisors, whose sum is σ = 1130506223616. Its totient is φ = 151226542080.

The previous prime is 422402204167. The next prime is 422402204243.

422402204224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 422402204192 and 422402204201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14271489 + ... + 14301055.

It is an arithmetic number, because the mean of its divisors is an integer number (5046902784).

Almost surely, 2^422402204224 is an apocalyptic number.

422402204224 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 422402204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565253111808).

422402204224 is an abundant number, since it is smaller than the sum of its proper divisors (708104019392).

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

422402204224 is a wasteful number, since it uses less digits than its factorization.

422402204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29833 (or 29823 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 422402 and 204224, that added together give a palindrome (626626).

The spelling of 422402204224 in words is "four hundred twenty-two billion, four hundred two million, two hundred four thousand, two hundred twenty-four".