4165900596480 has 432 divisors, whose sum is σ = 15614109491904. Its totient is φ = 943774433280.

The previous prime is 4165900596467. The next prime is 4165900596499. The reversal of 4165900596480 is 846950095614.

It is a self number, because there is not a number n which added to its sum of digits gives 4165900596480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21164115 + ... + 21360045.

It is an arithmetic number, because the mean of its divisors is an integer number (36143771972).

Almost surely, 2^{4165900596480} is an apocalyptic number.

4165900596480 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 4165900596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807054745952).

4165900596480 is an abundant number, since it is smaller than the sum of its proper divisors (11448208895424).

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

4165900596480 is a wasteful number, since it uses less digits than its factorization.

4165900596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196082 (or 196061 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 4165900596480 in words is "four trillion, one hundred sixty-five billion, nine hundred million, five hundred ninety-six thousand, four hundred eighty".