4580034816 has 144 divisors (see below), whose sum is σ = 14664473600. Its totient is φ = 1239681024.

The previous prime is 4580034793. The next prime is 4580034857. The reversal of 4580034816 is 6184300854.

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 15 ways as a sum of consecutive naturals, for example, 79725 + ... + 124563.

Almost surely, 2^4580034816 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 4580034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332236800).

4580034816 is an abundant number, since it is smaller than the sum of its proper divisors (10084438784).

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

4580034816 is a wasteful number, since it uses less digits than its factorization.

4580034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44884 (or 44870 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4580034816 is about 67675.9544890207. The cubic root of 4580034816 is about 1660.6939103085.

The spelling of 4580034816 in words is "four billion, five hundred eighty million, thirty-four thousand, eight hundred sixteen".