200404340304400 has 240 divisors, whose sum is σ = 485827476480000. Its totient is φ = 79440322959360.

The previous prime is 200404340304331. The next prime is 200404340304403. The reversal of 200404340304400 is 4403043404002.

It is a super-2 number, since 2×200404340304400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200404340304403) 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, 31515068421 + ... + 31515074779.

It is an arithmetic number, because the mean of its divisors is an integer number (2024281152000).

Almost surely, 2^{200404340304400} is an apocalyptic number.

200404340304400 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 200404340304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242913738240000).

200404340304400 is an abundant number, since it is smaller than the sum of its proper divisors (285423136175600).

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

200404340304400 is a wasteful number, since it uses less digits than its factorization.

200404340304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 200404340304400 its reverse (4403043404002), we get a palindrome (204807383708402).

The spelling of 200404340304400 in words is "two hundred trillion, four hundred four billion, three hundred forty million, three hundred four thousand, four hundred".