204042314213010 has 480 divisors, whose sum is σ = 687401803840752. Its totient is φ = 43045322019840.

The previous prime is 204042314212999. The next prime is 204042314213029. The reversal of 204042314213010 is 10312413240402.

204042314213010 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 231 + 421 + 3 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 93588036676281 + 110454277536729 = 9674091^2 + 10509723^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 239 ways as a sum of consecutive naturals, for example, 5207665620 + ... + 5207704800.

Almost surely, 2^{204042314213010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204042314213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343700901920376).

204042314213010 is an abundant number, since it is smaller than the sum of its proper divisors (483359489627742).

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

204042314213010 is a wasteful number, since it uses less digits than its factorization.

204042314213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49320 (or 49304 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 204042314213010 its reverse (10312413240402), we get a palindrome (214354727453412).

The spelling of 204042314213010 in words is "two hundred four trillion, forty-two billion, three hundred fourteen million, two hundred thirteen thousand, ten".