434140200200 has 96 divisors (see below), whose sum is σ = 1164772652160. Its totient is φ = 147402892800.

The previous prime is 434140200191. The next prime is 434140200203. The reversal of 434140200200 is 2002041434.

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

It is not an unprimeable number, because it can be changed into a prime (434140200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361141 + ... + 1649540.

It is an arithmetic number, because the mean of its divisors is an integer number (12133048460).

Almost surely, 2^434140200200 is an apocalyptic number.

434140200200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434140200200 is an abundant number, since it is smaller than the sum of its proper divisors (730632451960).

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

434140200200 is a wasteful number, since it uses less digits than its factorization.

434140200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010807 (or 3010798 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 434140200200 its reverse (2002041434), we get a palindrome (436142241634).

The spelling of 434140200200 in words is "four hundred thirty-four billion, one hundred forty million, two hundred thousand, two hundred".