200414234311434 has 224 divisors, whose sum is σ = 534983128392384. Its totient is φ = 55481982704640.

The previous prime is 200414234311409. The next prime is 200414234311451. The reversal of 200414234311434 is 434113432414002.

200414234311434 is a `hidden beast` number, since 2 + 0 + 0 + 41 + 42 + 3 + 431 + 143 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15269037 + ... + 25178799.

It is an arithmetic number, because the mean of its divisors is an integer number (2388317537466).

Almost surely, 2^{200414234311434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200414234311434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267491564196192).

200414234311434 is an abundant number, since it is smaller than the sum of its proper divisors (334568894080950).

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

200414234311434 is a wasteful number, since it uses less digits than its factorization.

200414234311434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909904 (or 9909889 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 200414234311434 its reverse (434113432414002), we get a palindrome (634527666725436).

The spelling of 200414234311434 in words is "two hundred trillion, four hundred fourteen billion, two hundred thirty-four million, three hundred eleven thousand, four hundred thirty-four".