4058159616 has 300 divisors, whose sum is σ = 14097150738. Its totient is φ = 1158893568.

The previous prime is 4058159591. The next prime is 4058159647. The reversal of 4058159616 is 6169518504.

4058159616 is a `hidden beast` number, since 4 + 0 + 58 + 1 + 596 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4032758016 + 25401600 = 63504^2 + 5040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2031130 + ... + 2033126.

Almost surely, 2^4058159616 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 4058159616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048575369).

4058159616 is an abundant number, since it is smaller than the sum of its proper divisors (10038991122).

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

4058159616 is an equidigital number, since it uses as much as digits as its factorization.

4058159616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 4058159616 is about 63703.6860471982. The cubic root of 4058159616 is about 1595.0576154081.

The spelling of 4058159616 in words is "four billion, fifty-eight million, one hundred fifty-nine thousand, six hundred sixteen".