204214313130400 has 144 divisors (see below), whose sum is σ = 510172092771264. Its totient is φ = 79779802798080.

The previous prime is 204214313130383. The next prime is 204214313130473. The reversal of 204214313130400 is 4031313412402.

It is a happy number.

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, 451342684 + ... + 451794916.

It is an arithmetic number, because the mean of its divisors is an integer number (3542861755356).

Almost surely, 2^{204214313130400} is an apocalyptic number.

204214313130400 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 204214313130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255086046385632).

204214313130400 is an abundant number, since it is smaller than the sum of its proper divisors (305957779640864).

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

204214313130400 is a wasteful number, since it uses less digits than its factorization.

204214313130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465423 (or 465410 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 204214313130400 its reverse (4031313412402), we get a palindrome (208245626542802).

The spelling of 204214313130400 in words is "two hundred four trillion, two hundred fourteen billion, three hundred thirteen million, one hundred thirty thousand, four hundred".