4196393220100 has 81 divisors (see below), whose sum is σ = 9184133842527. Its totient is φ = 1664307852480.

The previous prime is 4196393220079. The next prime is 4196393220133. The reversal of 4196393220100 is 10223936914.

The square root of 4196393220100 is 2048510.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1040578564 + 4195352641536 = 32258^2 + 2048256^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 2601606894 + ... + 2601608506.

Almost surely, 2^{4196393220100} is an apocalyptic number.

4196393220100 is the 2048510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4196393220100

4196393220100 is an abundant number, since it is smaller than the sum of its proper divisors (4987740622427).

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

4196393220100 is an equidigital number, since it uses as much as digits as its factorization.

4196393220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 4196393220100 in words is "four trillion, one hundred ninety-six billion, three hundred ninety-three million, two hundred twenty thousand, one hundred".