204161126400 has 1872 divisors, whose sum is σ = 958724441280. Its totient is φ = 42113433600.

The previous prime is 204161126383. The next prime is 204161126419. The reversal of 204161126400 is 4621161402.

204161126400 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 6 + 1 + 12 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1490227132 + ... + 1490227268.

Almost surely, 2^204161126400 is an apocalyptic number.

204161126400 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 204161126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479362220640).

204161126400 is an abundant number, since it is smaller than the sum of its proper divisors (754563314880).

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

204161126400 is a wasteful number, since it uses less digits than its factorization.

204161126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 204161126400 its reverse (4621161402), we get a palindrome (208782287802).

The spelling of 204161126400 in words is "two hundred four billion, one hundred sixty-one million, one hundred twenty-six thousand, four hundred".