197842804118400 has 384 divisors, whose sum is σ = 748851455439360. Its totient is φ = 44971368652800.

The previous prime is 197842804118353. The next prime is 197842804118461. The reversal of 197842804118400 is 4811408248791.

197842804118400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4030357 + ... + 20296043.

It is an arithmetic number, because the mean of its divisors is an integer number (1950133998540).

Almost surely, 2^{197842804118400} is an apocalyptic number.

197842804118400 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 197842804118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374425727719680).

197842804118400 is an abundant number, since it is smaller than the sum of its proper divisors (551008651320960).

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

197842804118400 is a wasteful number, since it uses less digits than its factorization.

197842804118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16265902 (or 16265885 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 197842804118400 in words is "one hundred ninety-seven trillion, eight hundred forty-two billion, eight hundred four million, one hundred eighteen thousand, four hundred".