431343221120 has 192 divisors, whose sum is σ = 1200586581360. Its totient is φ = 147759575040.

The previous prime is 431343221119. The next prime is 431343221131. The reversal of 431343221120 is 21122343134.

It is a self number, because there is not a number n which added to its sum of digits gives 431343221120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40041335 + ... + 40052105.

Almost surely, 2^431343221120 is an apocalyptic number.

431343221120 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 431343221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600293290680).

431343221120 is an abundant number, since it is smaller than the sum of its proper divisors (769243360240).

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

431343221120 is a wasteful number, since it uses less digits than its factorization.

431343221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12081 (or 12062 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 431343221120 its reverse (21122343134), we get a palindrome (452465564254).

The spelling of 431343221120 in words is "four hundred thirty-one billion, three hundred forty-three million, two hundred twenty-one thousand, one hundred twenty".