4059116568576 has 512 divisors, whose sum is σ = 12394042113600. Its totient is φ = 1312146063360.

The previous prime is 4059116568491. The next prime is 4059116568583. The reversal of 4059116568576 is 6758656119504.

4059116568576 is a `hidden beast` number, since 4 + 0 + 5 + 9 + 1 + 1 + 6 + 56 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11498913616 + ... + 11498913968.

Almost surely, 2^{4059116568576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4059116568576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197021056800).

4059116568576 is an abundant number, since it is smaller than the sum of its proper divisors (8334925545024).

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

4059116568576 is an equidigital number, since it uses as much as digits as its factorization.

4059116568576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 4059116568576 in words is "four trillion, fifty-nine billion, one hundred sixteen million, five hundred sixty-eight thousand, five hundred seventy-six".