199986435865440 has 1728 divisors, whose sum is σ = 822455193111552. Its totient is φ = 43340064768000.

The previous prime is 199986435865439. The next prime is 199986435865477. The reversal of 199986435865440 is 44568534689991.

199986435865440 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 8 + 64 + 3 + 5 + 8 + 6 + 544 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199986435865440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 112162890789 + ... + 112162892571.

It is an arithmetic number, because the mean of its divisors is an integer number (475957866384).

Almost surely, 2^{199986435865440} is an apocalyptic number.

199986435865440 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 199986435865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411227596555776).

199986435865440 is an abundant number, since it is smaller than the sum of its proper divisors (622468757246112).

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

199986435865440 is a wasteful number, since it uses less digits than its factorization.

199986435865440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 8062156800, while the sum is 81.

The spelling of 199986435865440 in words is "one hundred ninety-nine trillion, nine hundred eighty-six billion, four hundred thirty-five million, eight hundred sixty-five thousand, four hundred forty".