4197646387200 has 1728 divisors, whose sum is σ = 16882604444160. Its totient is φ = 916586496000.

The previous prime is 4197646387141. The next prime is 4197646387211. The reversal of 4197646387200 is 27836467914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18823526289 + ... + 18823526511.

It is an arithmetic number, because the mean of its divisors is an integer number (9770025720).

Almost surely, 2^{4197646387200} is an apocalyptic number.

4197646387200 is a gapful number since it is divisible by the number (40) 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 4197646387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441302222080).

4197646387200 is an abundant number, since it is smaller than the sum of its proper divisors (12684958056960).

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

4197646387200 is a wasteful number, since it uses less digits than its factorization.

4197646387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 4197646387200 in words is "four trillion, one hundred ninety-seven billion, six hundred forty-six million, three hundred eighty-seven thousand, two hundred".