431220230300340 has 432 divisors, whose sum is σ = 1501001426328768. Its totient is φ = 99816565395456.

The previous prime is 431220230300311. The next prime is 431220230300341. The reversal of 431220230300340 is 43003032022134.

431220230300340 is a `hidden beast` number, since 4 + 3 + 12 + 2 + 0 + 2 + 3 + 0 + 300 + 340 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431220230300341) 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 143 ways as a sum of consecutive naturals, for example, 601075327 + ... + 601792313.

It is an arithmetic number, because the mean of its divisors is an integer number (3474540338724).

Almost surely, 2^{431220230300340} 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 431220230300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750500713164384).

431220230300340 is an abundant number, since it is smaller than the sum of its proper divisors (1069781196028428).

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

431220230300340 is a wasteful number, since it uses less digits than its factorization.

431220230300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718208 (or 718190 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 431220230300340 its reverse (43003032022134), we get a palindrome (474223262322474).

The spelling of 431220230300340 in words is "four hundred thirty-one trillion, two hundred twenty billion, two hundred thirty million, three hundred thousand, three hundred forty".