200204113201400 has 288 divisors, whose sum is σ = 590894758529280. Its totient is φ = 62380178784000.

The previous prime is 200204113201357. The next prime is 200204113201487. The reversal of 200204113201400 is 4102311402002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 319961249 + ... + 320586351.

It is an arithmetic number, because the mean of its divisors is an integer number (2051717911560).

Almost surely, 2^{200204113201400} is an apocalyptic number.

200204113201400 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 200204113201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295447379264640).

200204113201400 is an abundant number, since it is smaller than the sum of its proper divisors (390690645327880).

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

200204113201400 is a wasteful number, since it uses less digits than its factorization.

200204113201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628115 (or 628099 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 200204113201400 its reverse (4102311402002), we get a palindrome (204306424603402).

The spelling of 200204113201400 in words is "two hundred trillion, two hundred four billion, one hundred thirteen million, two hundred one thousand, four hundred".