199901841408000 has 1200 divisors, whose sum is σ = 747031299478464. Its totient is φ = 53185550745600.

The previous prime is 199901841407999. The next prime is 199901841408007. The reversal of 199901841408000 is 804148109991.

199901841408000 is a `hidden beast` number, since 199 + 9 + 0 + 1 + 8 + 41 + 408 + 0 + 0 + 0 = 666.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199901841408007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90740734899 + ... + 90740737101.

Almost surely, 2^{199901841408000} is an apocalyptic number.

199901841408000 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 199901841408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373515649739232).

199901841408000 is an abundant number, since it is smaller than the sum of its proper divisors (547129458070464).

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

199901841408000 is an frugal number, since it uses more digits than its factorization.

199901841408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 199901841408000 in words is "one hundred ninety-nine trillion, nine hundred one billion, eight hundred forty-one million, four hundred eight thousand".