4807418880 has 352 divisors, whose sum is σ = 17249823360. Its totient is φ = 1132462080.

The previous prime is 4807418849. The next prime is 4807418881. The reversal of 4807418880 is 888147084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×4807418880³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4807418881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6251136 + ... + 6251904.

It is an arithmetic number, because the mean of its divisors is an integer number (49005180).

Almost surely, 2^4807418880 is an apocalyptic number.

4807418880 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 4807418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624911680).

4807418880 is an abundant number, since it is smaller than the sum of its proper divisors (12442404480).

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

4807418880 is a wasteful number, since it uses less digits than its factorization.

4807418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 4807418880 is about 69335.5527849890. The cubic root of 4807418880 is about 1687.7339562595.

The spelling of 4807418880 in words is "four billion, eight hundred seven million, four hundred eighteen thousand, eight hundred eighty".