422021735424 has 297 divisors, whose sum is σ = 1249406967081. Its totient is φ = 137202278400.

The previous prime is 422021735411. The next prime is 422021735459. The reversal of 422021735424 is 424537120224.

The square root of 422021735424 is 649632.

It is a perfect power (a square), and thus also a powerful number.

422021735424 is a `hidden beast` number, since 4 + 2 + 20 + 21 + 73 + 542 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 405473485824 + 16548249600 = 636768^2 + 128640^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4178432974 + ... + 4178433074.

Almost surely, 2^422021735424 is an apocalyptic number.

422021735424 is the 649632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422021735424

422021735424 is an abundant number, since it is smaller than the sum of its proper divisors (827385231657).

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

422021735424 is an equidigital number, since it uses as much as digits as its factorization.

422021735424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Multiplying 422021735424 by its sum of digits (36), we get a square (15192782475264 = 3897792²).

422021735424 divided by its sum of digits (36) gives a square (11722825984 = 108272²).

Adding to 422021735424 its reverse (424537120224), we get a palindrome (846558855648).

The spelling of 422021735424 in words is "four hundred twenty-two billion, twenty-one million, seven hundred thirty-five thousand, four hundred twenty-four".