199791044640 has 384 divisors, whose sum is σ = 770263603200. Its totient is φ = 47962782720.

The previous prime is 199791044599. The next prime is 199791044659. The reversal of 199791044640 is 46440197991.

199791044640 is a `hidden beast` number, since 1 + 9 + 9 + 79 + 104 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4874151 + ... + 4914969.

It is an arithmetic number, because the mean of its divisors is an integer number (2005894800).

Almost surely, 2^199791044640 is an apocalyptic number.

199791044640 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 199791044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385131801600).

199791044640 is an abundant number, since it is smaller than the sum of its proper divisors (570472558560).

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

199791044640 is a wasteful number, since it uses less digits than its factorization.

199791044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40957 (or 40943 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 199791044640 in words is "one hundred ninety-nine billion, seven hundred ninety-one million, forty-four thousand, six hundred forty".