4190792832117 has 6 divisors (see below), whose sum is σ = 6053367424182. Its totient is φ = 2793861888072.

The previous prime is 4190792832101. The next prime is 4190792832173. The reversal of 4190792832117 is 7112382970914.

4190792832117 is a `hidden beast` number, since 419 + 0 + 7 + 9 + 2 + 8 + 3 + 211 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2382827536881 + 1807965295236 = 1543641^2 + 1344606^2 .

It is not a de Polignac number, because 4190792832117 - 2⁴ = 4190792832101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190793832117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 232821823998 + ... + 232821824015.

It is an arithmetic number, because the mean of its divisors is an integer number (1008894570697).

Almost surely, 2^{4190792832117} is an apocalyptic number.

It is an amenable number.

4190792832117 is a deficient number, since it is larger than the sum of its proper divisors (1862574592065).

4190792832117 is a wasteful number, since it uses less digits than its factorization.

4190792832117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465643648019 (or 465643648016 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 4190792832117 in words is "four trillion, one hundred ninety billion, seven hundred ninety-two million, eight hundred thirty-two thousand, one hundred seventeen".