4815130320 has 1280 divisors, whose sum is σ = 23758479360. Its totient is φ = 862617600.

The previous prime is 4815130319. The next prime is 4815130367. The reversal of 4815130320 is 230315184.

It is a happy number.

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

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 255 ways as a sum of consecutive naturals, for example, 36756655 + ... + 36756785.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2^4815130320 is an apocalyptic number.

4815130320 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 4815130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879239680).

4815130320 is an abundant number, since it is smaller than the sum of its proper divisors (18943349040).

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

4815130320 is a wasteful number, since it uses less digits than its factorization.

4815130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4815130320 is about 69391.1400684554. The cubic root of 4815130320 is about 1688.6358890666.

The spelling of 4815130320 in words is "four billion, eight hundred fifteen million, one hundred thirty thousand, three hundred twenty".