4091608834560 has 960 divisors, whose sum is σ = 15912307547136. Its totient is φ = 964804608000.

The previous prime is 4091608834531. The next prime is 4091608834603. The reversal of 4091608834560 is 654388061904.

4091608834560 is a `hidden beast` number, since 4 + 0 + 9 + 160 + 88 + 345 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 4091608834497 and 4091608834506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 937794939 + ... + 937799301.

Almost surely, 2^{4091608834560} is an apocalyptic number.

4091608834560 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 4091608834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956153773568).

4091608834560 is an abundant number, since it is smaller than the sum of its proper divisors (11820698712576).

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

4091608834560 is a wasteful number, since it uses less digits than its factorization.

4091608834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4091608834560 in words is "four trillion, ninety-one billion, six hundred eight million, eight hundred thirty-four thousand, five hundred sixty".