204034342411400 has 192 divisors, whose sum is σ = 509069509430400. Its totient is φ = 75814612623360.

The previous prime is 204034342411349. The next prime is 204034342411409. The reversal of 204034342411400 is 4114243430402.

It is not an unprimeable number, because it can be changed into a prime (204034342411409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341477309 + ... + 342074291.

It is an arithmetic number, because the mean of its divisors is an integer number (2651403694950).

Almost surely, 2^{204034342411400} is an apocalyptic number.

204034342411400 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 204034342411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254534754715200).

204034342411400 is an abundant number, since it is smaller than the sum of its proper divisors (305035167019000).

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

204034342411400 is a wasteful number, since it uses less digits than its factorization.

204034342411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598768 (or 598759 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 204034342411400 its reverse (4114243430402), we get a palindrome (208148585841802).

The spelling of 204034342411400 in words is "two hundred four trillion, thirty-four billion, three hundred forty-two million, four hundred eleven thousand, four hundred".