4812410880 has 312 divisors, whose sum is σ = 17316691392. Its totient is φ = 1281982464.

The previous prime is 4812410861. The next prime is 4812410893. The reversal of 4812410880 is 880142184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 4976157 + ... + 4977123.

It is an arithmetic number, because the mean of its divisors is an integer number (55502216).

Almost surely, 2^4812410880 is an apocalyptic number.

4812410880 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 4812410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8658345696).

4812410880 is an abundant number, since it is smaller than the sum of its proper divisors (12504280512).

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

4812410880 is an frugal number, since it uses more digits than its factorization.

4812410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 4812410880 is about 69371.5422922109. The cubic root of 4812410880 is about 1688.3179323725.

The spelling of 4812410880 in words is "four billion, eight hundred twelve million, four hundred ten thousand, eight hundred eighty".