422420303024224 has 192 divisors, whose sum is σ = 938549617754112. Its totient is φ = 186066909388800.

The previous prime is 422420303024219. The next prime is 422420303024231.

422420303024224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 422420303024224.

It is a congruent number.

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, 3775903009 + ... + 3776014879.

It is an arithmetic number, because the mean of its divisors is an integer number (4888279259136).

Almost surely, 2^{422420303024224} 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 422420303024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469274808877056).

422420303024224 is an abundant number, since it is smaller than the sum of its proper divisors (516129314729888).

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

422420303024224 is a wasteful number, since it uses less digits than its factorization.

422420303024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118389 (or 118381 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 42242030 and 3024224, that added together give a palindrome (45266254).

The spelling of 422420303024224 in words is "four hundred twenty-two trillion, four hundred twenty billion, three hundred three million, twenty-four thousand, two hundred twenty-four".