4815043200 has 288 divisors, whose sum is σ = 18744336000. Its totient is φ = 1167206400.

The previous prime is 4815043193. The next prime is 4815043243. The reversal of 4815043200 is 23405184.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309201 + ... + 324399.

It is an arithmetic number, because the mean of its divisors is an integer number (65084500).

Almost surely, 2^4815043200 is an apocalyptic number.

4815043200 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 4815043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9372168000).

4815043200 is an abundant number, since it is smaller than the sum of its proper divisors (13929292800).

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

4815043200 is a wasteful number, since it uses less digits than its factorization.

4815043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4815043200 is about 69390.5123197689. The cubic root of 4815043200 is about 1688.6257048600.

Adding to 4815043200 its reverse (23405184), we get a palindrome (4838448384).

The spelling of 4815043200 in words is "four billion, eight hundred fifteen million, forty-three thousand, two hundred".