431421312300 has 288 divisors, whose sum is σ = 1374279540480. Its totient is φ = 103627238400.

The previous prime is 431421312263. The next prime is 431421312341. The reversal of 431421312300 is 3213124134.

It is a happy number.

431421312300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×431421312300² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174875667 + ... + 174878133.

It is an arithmetic number, because the mean of its divisors is an integer number (4771803960).

Almost surely, 2^431421312300 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 431421312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687139770240).

431421312300 is an abundant number, since it is smaller than the sum of its proper divisors (942858228180).

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

431421312300 is a wasteful number, since it uses less digits than its factorization.

431421312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 431421312300 its reverse (3213124134), we get a palindrome (434634436434).

The spelling of 431421312300 in words is "four hundred thirty-one billion, four hundred twenty-one million, three hundred twelve thousand, three hundred".