204130431042400 has 144 divisors (see below), whose sum is σ = 498611545756128. Its totient is φ = 81606615552000.

The previous prime is 204130431042383. The next prime is 204130431042427. The reversal of 204130431042400 is 4240134031402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13393498780 + ... + 13393514020.

It is an arithmetic number, because the mean of its divisors is an integer number (3462580178862).

Almost surely, 2^{204130431042400} is an apocalyptic number.

204130431042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204130431042400 is an abundant number, since it is smaller than the sum of its proper divisors (294481114713728).

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

204130431042400 is a wasteful number, since it uses less digits than its factorization.

204130431042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23505 (or 23492 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 204130431042400 its reverse (4240134031402), we get a palindrome (208370565073802).

The spelling of 204130431042400 in words is "two hundred four trillion, one hundred thirty billion, four hundred thirty-one million, forty-two thousand, four hundred".