199884183791040 has 2016 divisors, whose sum is σ = 841444866662400. Its totient is φ = 43364310958080.

The previous prime is 199884183791029. The next prime is 199884183791137. The reversal of 199884183791040 is 40197381488991.

199884183791040 is a `hidden beast` number, since 1 + 9 + 9 + 88 + 418 + 3 + 7 + 91 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 199884183791040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 127558508337 + ... + 127558509903.

It is an arithmetic number, because the mean of its divisors is an integer number (417383366400).

Almost surely, 2^{199884183791040} is an apocalyptic number.

199884183791040 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 199884183791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420722433331200).

199884183791040 is an abundant number, since it is smaller than the sum of its proper divisors (641560682871360).

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

199884183791040 is a wasteful number, since it uses less digits than its factorization.

199884183791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 199884183791040 in words is "one hundred ninety-nine trillion, eight hundred eighty-four billion, one hundred eighty-three million, seven hundred ninety-one thousand, forty".