431411421230244 has 288 divisors, whose sum is σ = 1412889319296000. Its totient is φ = 107784374001408.

The previous prime is 431411421230197. The next prime is 431411421230269. The reversal of 431411421230244 is 442032124114134.

431411421230244 is a `hidden beast` number, since 4 + 3 + 1 + 41 + 142 + 1 + 230 + 244 = 666.

It is a super-2 number, since 2×431411421230244² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 431411421230199 and 431411421230208.

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, 1153754587 + ... + 1154128445.

It is an arithmetic number, because the mean of its divisors is an integer number (4905865692000).

Almost surely, 2^{431411421230244} 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 431411421230244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706444659648000).

431411421230244 is an abundant number, since it is smaller than the sum of its proper divisors (981477898065756).

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

431411421230244 is a wasteful number, since it uses less digits than its factorization.

431411421230244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392447 (or 392442 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 431411421230244 its reverse (442032124114134), we get a palindrome (873443545344378).

The spelling of 431411421230244 in words is "four hundred thirty-one trillion, four hundred eleven billion, four hundred twenty-one million, two hundred thirty thousand, two hundred forty-four".