4959018000 has 360 divisors, whose sum is σ = 17851368600. Its totient is φ = 1282982400.

The previous prime is 4959017989. The next prime is 4959018007. The reversal of 4959018000 is 8109594.

4959018000 is a `hidden beast` number, since 495 + 90 + 1 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 865065744 + 4093952256 = 29412^2 + 63984^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (4959018007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 33281926 + ... + 33282074.

It is an arithmetic number, because the mean of its divisors is an integer number (49587135).

Almost surely, 2^4959018000 is an apocalyptic number.

4959018000 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 4959018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925684300).

4959018000 is an abundant number, since it is smaller than the sum of its proper divisors (12892350600).

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

4959018000 is a wasteful number, since it uses less digits than its factorization.

4959018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 4959018000 is about 70420.2953700139. The cubic root of 4959018000 is about 1705.2912417462.

The spelling of 4959018000 in words is "four billion, nine hundred fifty-nine million, eighteen thousand".