4816442880 has 480 divisors, whose sum is σ = 17810020800. Its totient is φ = 1200291840.

The previous prime is 4816442861. The next prime is 4816442887. The reversal of 4816442880 is 882446184.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4816442887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32325046 + ... + 32325194.

It is an arithmetic number, because the mean of its divisors is an integer number (37104210).

Almost surely, 2^4816442880 is an apocalyptic number.

4816442880 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 4816442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905010400).

4816442880 is an abundant number, since it is smaller than the sum of its proper divisors (12993577920).

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

4816442880 is a wasteful number, since it uses less digits than its factorization.

4816442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4816442880 is about 69400.5971155868. The cubic root of 4816442880 is about 1688.7893106365.

The spelling of 4816442880 in words is "four billion, eight hundred sixteen million, four hundred forty-two thousand, eight hundred eighty".