4513024000 has 288 divisors, whose sum is σ = 12159299880. Its totient is φ = 1671168000.

The previous prime is 4513023979. The next prime is 4513024003. The reversal of 4513024000 is 4203154.

It can be written as a sum of positive squares in 12 ways, for example, as 213861376 + 4299162624 = 14624^2 + 65568^2 .

It is not an unprimeable number, because it can be changed into a prime (4513024003) 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 23 ways as a sum of consecutive naturals, for example, 73983970 + ... + 73984030.

Almost surely, 2^4513024000 is an apocalyptic number.

4513024000 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 4513024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079649940).

4513024000 is an abundant number, since it is smaller than the sum of its proper divisors (7646275880).

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

4513024000 is an equidigital number, since it uses as much as digits as its factorization.

4513024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4513024000 is about 67179.0443516429. The cubic root of 4513024000 is about 1652.5548421906.

Adding to 4513024000 its reverse (4203154), we get a palindrome (4517227154).

The spelling of 4513024000 in words is "four billion, five hundred thirteen million, twenty-four thousand".