434401000200 has 144 divisors (see below), whose sum is σ = 1459124110080. Its totient is φ = 115819562880.

The previous prime is 434401000151. The next prime is 434401000247. The reversal of 434401000200 is 2000104434.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11874337 + ... + 11910863.

It is an arithmetic number, because the mean of its divisors is an integer number (10132806320).

Almost surely, 2^434401000200 is an apocalyptic number.

434401000200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434401000200 is an abundant number, since it is smaller than the sum of its proper divisors (1024723109880).

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

434401000200 is a wasteful number, since it uses less digits than its factorization.

434401000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43156 (or 43144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 434401000200 its reverse (2000104434), we get a palindrome (436401104634).

The spelling of 434401000200 in words is "four hundred thirty-four billion, four hundred one million, two hundred", and thus it is an aban number.