199442430000 has 1200 divisors, whose sum is σ = 837568892160. Its totient is φ = 43718400000.

The previous prime is 199442429983. The next prime is 199442430049. The reversal of 199442430000 is 34244991.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 432629770 + ... + 432630230.

Almost surely, 2^199442430000 is an apocalyptic number.

199442430000 is a gapful number since it is divisible by the number (10) 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 199442430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418784446080).

199442430000 is an abundant number, since it is smaller than the sum of its proper divisors (638126462160).

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

199442430000 is a wasteful number, since it uses less digits than its factorization.

199442430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 199442430000 its reverse (34244991), we get a palindrome (199476674991).

The spelling of 199442430000 in words is "one hundred ninety-nine billion, four hundred forty-two million, four hundred thirty thousand".