204345013252400 has 120 divisors (see below), whose sum is σ = 519919686068400. Its totient is φ = 76914787041280.

The previous prime is 204345013252357. The next prime is 204345013252427. The reversal of 204345013252400 is 4252310543402.

It is a happy number.

It is a super-3 number, since 3×204345013252400³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31726472 + ... + 37619928.

It is an arithmetic number, because the mean of its divisors is an integer number (4332664050570).

Almost surely, 2^{204345013252400} is an apocalyptic number.

204345013252400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204345013252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259959843034200).

204345013252400 is an abundant number, since it is smaller than the sum of its proper divisors (315574672816000).

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

204345013252400 is a wasteful number, since it uses less digits than its factorization.

204345013252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898591 (or 5898580 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 204345013252400 its reverse (4252310543402), we get a palindrome (208597323795802).

The spelling of 204345013252400 in words is "two hundred four trillion, three hundred forty-five billion, thirteen million, two hundred fifty-two thousand, four hundred".