4580040960 has 432 divisors, whose sum is σ = 17677820160. Its totient is φ = 1085276160.

The previous prime is 4580040943. The next prime is 4580040973. The reversal of 4580040960 is 690400854.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 5955456 + ... + 5956224.

It is an arithmetic number, because the mean of its divisors is an integer number (40920880).

Almost surely, 2^4580040960 is an apocalyptic number.

4580040960 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 4580040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838910080).

4580040960 is an abundant number, since it is smaller than the sum of its proper divisors (13097779200).

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

4580040960 is a wasteful number, since it uses less digits than its factorization.

4580040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4580040960 is about 67675.9998817897. Note that the first 3 decimals coincide. The cubic root of 4580040960 is about 1660.6946529010.

The spelling of 4580040960 in words is "four billion, five hundred eighty million, forty thousand, nine hundred sixty".