412430200244200 has 192 divisors, whose sum is σ = 992761750431360. Its totient is φ = 159266940318720.

The previous prime is 412430200243973. The next prime is 412430200244203. The reversal of 412430200244200 is 2442002034214.

It is not an unprimeable number, because it can be changed into a prime (412430200244203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170209567 + ... + 172615633.

It is an arithmetic number, because the mean of its divisors is an integer number (5170634116830).

Almost surely, 2^{412430200244200} is an apocalyptic number.

412430200244200 is a gapful number since it is divisible by the number (40) 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 412430200244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496380875215680).

412430200244200 is an abundant number, since it is smaller than the sum of its proper divisors (580331550187160).

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

412430200244200 is a wasteful number, since it uses less digits than its factorization.

412430200244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406396 (or 2406387 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 412430200244200 its reverse (2442002034214), we get a palindrome (414872202278414).

The spelling of 412430200244200 in words is "four hundred twelve trillion, four hundred thirty billion, two hundred million, two hundred forty-four thousand, two hundred".