4817268180480 has 480 divisors, whose sum is σ = 17929031513184. Its totient is φ = 1100198313984.

The previous prime is 4817268180419. The next prime is 4817268180497. The reversal of 4817268180480 is 840818627184.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4817268180480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539262094 + ... + 539271026.

Almost surely, 2^{4817268180480} is an apocalyptic number.

4817268180480 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 4817268180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964515756592).

4817268180480 is an abundant number, since it is smaller than the sum of its proper divisors (13111763332704).

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

4817268180480 is a wasteful number, since it uses less digits than its factorization.

4817268180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 57.

The spelling of 4817268180480 in words is "four trillion, eight hundred seventeen billion, two hundred sixty-eight million, one hundred eighty thousand, four hundred eighty".