199791120400 has 45 divisors (see below), whose sum is σ = 480019645111. Its totient is φ = 79912872320.

The previous prime is 199791120371. The next prime is 199791120421. The reversal of 199791120400 is 4021197991.

The square root of 199791120400 is 446980.

It is a perfect power (a square), and thus also a powerful number.

199791120400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48924131344 + 150866989056 = 221188^2 + 388416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8928426 + ... + 8950774.

Almost surely, 2^199791120400 is an apocalyptic number.

199791120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199791120400 is the 446980-th square number.

It is an amenable number.

199791120400 is an abundant number, since it is smaller than the sum of its proper divisors (280228524711).

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

199791120400 is an frugal number, since it uses more digits than its factorization.

199791120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44716 (or 22356 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 43.

The spelling of 199791120400 in words is "one hundred ninety-nine billion, seven hundred ninety-one million, one hundred twenty thousand, four hundred".