199413144000 has 1344 divisors, whose sum is σ = 865121886720. Its totient is φ = 44832614400.

The previous prime is 199413143999. The next prime is 199413144037. The reversal of 199413144000 is 441314991.

199413144000 is a `hidden beast` number, since 199 + 413 + 14 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 878471887 + ... + 878472113.

It is an arithmetic number, because the mean of its divisors is an integer number (643691880).

Almost surely, 2^199413144000 is an apocalyptic number.

199413144000 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 199413144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432560943360).

199413144000 is an abundant number, since it is smaller than the sum of its proper divisors (665708742720).

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

199413144000 is a wasteful number, since it uses less digits than its factorization.

199413144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 199413144000 its reverse (441314991), we get a palindrome (199854458991).

The spelling of 199413144000 in words is "one hundred ninety-nine billion, four hundred thirteen million, one hundred forty-four thousand".