422420441233320 has 768 divisors, whose sum is σ = 1480411547596800. Its totient is φ = 108267140367360.

The previous prime is 422420441233303. The next prime is 422420441233321. The reversal of 422420441233320 is 23332144024224.

422420441233320 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 204 + 4 + 123 + 3 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (422420441233321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5842004607 + ... + 5842076913.

It is an arithmetic number, because the mean of its divisors is an integer number (1927619202600).

Almost surely, 2^{422420441233320} is an apocalyptic number.

422420441233320 is a gapful number since it is divisible by the number (40) 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 422420441233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740205773798400).

422420441233320 is an abundant number, since it is smaller than the sum of its proper divisors (1057991106363480).

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

422420441233320 is a wasteful number, since it uses less digits than its factorization.

422420441233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72620 (or 72604 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 422420441233320 its reverse (23332144024224), we get a palindrome (445752585257544).

The spelling of 422420441233320 in words is "four hundred twenty-two trillion, four hundred twenty billion, four hundred forty-one million, two hundred thirty-three thousand, three hundred twenty".