431224213222242 has 96 divisors (see below), whose sum is σ = 1047318151501440. Its totient is φ = 127079914556160.

The previous prime is 431224213222241. The next prime is 431224213222277. The reversal of 431224213222242 is 242222312422134.

It is a happy number.

431224213222242 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 2 + 421 + 3 + 2 + 2 + 224 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 431224213222197 and 431224213222206.

It is not an unprimeable number, because it can be changed into a prime (431224213222241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 503638 + ... + 29371790.

It is an arithmetic number, because the mean of its divisors is an integer number (10909564078140).

Almost surely, 2^{431224213222242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431224213222242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523659075750720).

431224213222242 is an abundant number, since it is smaller than the sum of its proper divisors (616093938279198).

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

431224213222242 is a wasteful number, since it uses less digits than its factorization.

431224213222242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28870248 (or 28870245 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 431224213222242 its reverse (242222312422134), we get a palindrome (673446525644376).

The spelling of 431224213222242 in words is "four hundred thirty-one trillion, two hundred twenty-four billion, two hundred thirteen million, two hundred twenty-two thousand, two hundred forty-two".