10409101484166 has 144 divisors (see below), whose sum is σ = 28764026553600. Its totient is φ = 2690075979360.

The previous prime is 10409101484153. The next prime is 10409101484167. The reversal of 10409101484166 is 66148410190401.

10409101484166 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 9 + 1 + 0 + 1 + 484 + 166 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409101484167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764986 + ... + 4626381.

It is an arithmetic number, because the mean of its divisors is an integer number (199750184400).

Almost surely, 2^{10409101484166} is an apocalyptic number.

10409101484166 is an abundant number, since it is smaller than the sum of its proper divisors (18354925069434).

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

10409101484166 is a wasteful number, since it uses less digits than its factorization.

10409101484166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391599 (or 5391589 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10409101484166 in words is "ten trillion, four hundred nine billion, one hundred one million, four hundred eighty-four thousand, one hundred sixty-six".