4541064000 has 448 divisors, whose sum is σ = 16615452672. Its totient is φ = 1083648000.

The previous prime is 4541063993. The next prime is 4541064013. The reversal of 4541064000 is 4601454.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 27191917 + ... + 27192083.

It is an arithmetic number, because the mean of its divisors is an integer number (37088064).

Almost surely, 2^4541064000 is an apocalyptic number.

4541064000 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 4541064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307726336).

4541064000 is an abundant number, since it is smaller than the sum of its proper divisors (12074388672).

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

4541064000 is a wasteful number, since it uses less digits than its factorization.

4541064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4541064000 is about 67387.4172230989. The cubic root of 4541064000 is about 1655.9702904890.

Adding to 4541064000 its reverse (4601454), we get a palindrome (4545665454).

The spelling of 4541064000 in words is "four billion, five hundred forty-one million, sixty-four thousand".