431224000424100 has 432 divisors, whose sum is σ = 1457875952717184. Its totient is φ = 105983083008000.

The previous prime is 431224000424057. The next prime is 431224000424123. The reversal of 431224000424100 is 1424000422134.

431224000424100 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 240 + 0 + 0 + 4 + 2 + 410 + 0 = 666.

It is an unprimeable number.

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, 29923245895 + ... + 29923260305.

It is an arithmetic number, because the mean of its divisors is an integer number (3374712853512).

Almost surely, 2^{431224000424100} 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 431224000424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728937976358592).

431224000424100 is an abundant number, since it is smaller than the sum of its proper divisors (1026651952293084).

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

431224000424100 is a wasteful number, since it uses less digits than its factorization.

431224000424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18228 (or 18218 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 431224000424100 its reverse (1424000422134), we get a palindrome (432648000846234).

The spelling of 431224000424100 in words is "four hundred thirty-one trillion, two hundred twenty-four billion, four hundred twenty-four thousand, one hundred".