199898313431040 has 432 divisors, whose sum is σ = 805923757023840. Its totient is φ = 45691042037760.

The previous prime is 199898313430943. The next prime is 199898313431051. The reversal of 199898313431040 is 40134313898991.

199898313431040 is a `hidden beast` number, since 1 + 9 + 9 + 89 + 83 + 1 + 3 + 431 + 0 + 40 = 666.

199898313431040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17617176 + ... + 26648855.

It is an arithmetic number, because the mean of its divisors is an integer number (1865564252370).

Almost surely, 2^{199898313431040} is an apocalyptic number.

199898313431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199898313431040 is an abundant number, since it is smaller than the sum of its proper divisors (606025443592800).

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

199898313431040 is a wasteful number, since it uses less digits than its factorization.

199898313431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44266078 (or 44266048 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 199898313431040 in words is "one hundred ninety-nine trillion, eight hundred ninety-eight billion, three hundred thirteen million, four hundred thirty-one thousand, forty".