204330131424 has 72 divisors (see below), whose sum is σ = 584106187392. Its totient is φ = 67753428480.

The previous prime is 204330131419. The next prime is 204330131431. The reversal of 204330131424 is 424131033402.

204330131424 is a `hidden beast` number, since 2 + 0 + 43 + 301 + 314 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×204330131424² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1802269 + ... + 1912284.

It is an arithmetic number, because the mean of its divisors is an integer number (8112585936).

Almost surely, 2^204330131424 is an apocalyptic number.

204330131424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204330131424 is an abundant number, since it is smaller than the sum of its proper divisors (379776055968).

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

204330131424 is a wasteful number, since it uses less digits than its factorization.

204330131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714760 (or 3714749 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 204330131424 its reverse (424131033402), we get a palindrome (628461164826).

The spelling of 204330131424 in words is "two hundred four billion, three hundred thirty million, one hundred thirty-one thousand, four hundred twenty-four".