422403303304224 has 216 divisors, whose sum is σ = 1320445317656556. Its totient is φ = 127990558080000.

The previous prime is 422403303304211. The next prime is 422403303304237.

422403303304224 is a `hidden beast` number, since 4 + 2 + 2 + 40 + 3 + 303 + 304 + 2 + 2 + 4 = 666.

422403303304224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (422403303304211) and next prime (422403303304237).

It can be written as a sum of positive squares in 2 ways, for example, as 420509652094224 + 1893651210000 = 20506332^2 + 1376100^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 432079974 + ... + 433056474.

Almost surely, 2^{422403303304224} is an apocalyptic number.

422403303304224 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 422403303304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660222658828278).

422403303304224 is an abundant number, since it is smaller than the sum of its proper divisors (898042014352332).

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

422403303304224 is a wasteful number, since it uses less digits than its factorization.

422403303304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988952 (or 988930 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 42240330 and 3304224, that added together give a palindrome (45544554).

The spelling of 422403303304224 in words is "four hundred twenty-two trillion, four hundred three billion, three hundred three million, three hundred four thousand, two hundred twenty-four".