4096041586560 has 3456 divisors, whose sum is σ = 19281318900480. Its totient is φ = 797058662400.

The previous prime is 4096041586519. The next prime is 4096041586561. The reversal of 4096041586560 is 656851406904.

4096041586560 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 0 + 4 + 1 + 586 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4096041586497 and 4096041586506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096041586561) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 56110158684 + ... + 56110158756.

It is an arithmetic number, because the mean of its divisors is an integer number (5579085330).

Almost surely, 2^{4096041586560} is an apocalyptic number.

4096041586560 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 4096041586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640659450240).

4096041586560 is an abundant number, since it is smaller than the sum of its proper divisors (15185277313920).

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

4096041586560 is a wasteful number, since it uses less digits than its factorization.

4096041586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4096041586560 in words is "four trillion, ninety-six billion, forty-one million, five hundred eighty-six thousand, five hundred sixty".