4540512000 has 144 divisors (see below), whose sum is σ = 15081629472. Its totient is φ = 1210777600.

The previous prime is 4540511993. The next prime is 4540512101. The reversal of 4540512000 is 2150454.

It is a congruent number.

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, 72352 + ... + 119648.

It is an arithmetic number, because the mean of its divisors is an integer number (104733538).

Almost surely, 2^4540512000 is an apocalyptic number.

4540512000 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 4540512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540814736).

4540512000 is an abundant number, since it is smaller than the sum of its proper divisors (10541117472).

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

4540512000 is an equidigital number, since it uses as much as digits as its factorization.

4540512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47331 (or 47307 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4540512000 is about 67383.3213785132. The cubic root of 4540512000 is about 1655.9031892809.

Adding to 4540512000 its reverse (2150454), we get a palindrome (4542662454).

The spelling of 4540512000 in words is "four billion, five hundred forty million, five hundred twelve thousand".