4196165180760 has 192 divisors, whose sum is σ = 15589683532800. Its totient is φ = 958881800448.

The previous prime is 4196165180743. The next prime is 4196165180777. The reversal of 4196165180760 is 670815616914.

4196165180760 is a `hidden beast` number, since 4 + 1 + 9 + 61 + 6 + 518 + 0 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4196165180743) and next prime (4196165180777).

It is a junction number, because it is equal to n+sod(n) for n = 4196165180697 and 4196165180706.

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, 9889861 + ... + 10305419.

It is an arithmetic number, because the mean of its divisors is an integer number (81196268400).

Almost surely, 2^{4196165180760} is an apocalyptic number.

4196165180760 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 4196165180760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794841766400).

4196165180760 is an abundant number, since it is smaller than the sum of its proper divisors (11393518352040).

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

4196165180760 is a wasteful number, since it uses less digits than its factorization.

4196165180760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419590 (or 419583 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 4196165180760 in words is "four trillion, one hundred ninety-six billion, one hundred sixty-five million, one hundred eighty thousand, seven hundred sixty".