4591080000 has 700 divisors, whose sum is σ = 18482505580. Its totient is φ = 1119744000.

The previous prime is 4591079981. The next prime is 4591080017. The reversal of 4591080000 is 801954.

It can be written as a sum of positive squares in 10 ways, for example, as 3869835264 + 721244736 = 62208^2 + 26856^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 42119946 + ... + 42120054.

Almost surely, 2^4591080000 is an apocalyptic number.

4591080000 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 4591080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241252790).

4591080000 is an abundant number, since it is smaller than the sum of its proper divisors (13891425580).

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

4591080000 is a wasteful number, since it uses less digits than its factorization.

4591080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4591080000 is about 67757.5088089874. The cubic root of 4591080000 is about 1662.0278117047.

Adding to 4591080000 its reverse (801954), we get a palindrome (4591881954).

The spelling of 4591080000 in words is "four billion, five hundred ninety-one million, eighty thousand".