4811281182720 has 2496 divisors, whose sum is σ = 19822602683520. Its totient is φ = 1112983732224.

The previous prime is 4811281182713. The next prime is 4811281182791. The reversal of 4811281182720 is 272811821184.

4811281182720 is a `hidden beast` number, since 481 + 1 + 28 + 1 + 1 + 82 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90778890214 + ... + 90778890266.

It is an arithmetic number, because the mean of its divisors is an integer number (7941747870).

Almost surely, 2^{4811281182720} is an apocalyptic number.

4811281182720 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 4811281182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9911301341760).

4811281182720 is an abundant number, since it is smaller than the sum of its proper divisors (15011321500800).

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

4811281182720 is a wasteful number, since it uses less digits than its factorization.

4811281182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 4811281182720 in words is "four trillion, eight hundred eleven billion, two hundred eighty-one million, one hundred eighty-two thousand, seven hundred twenty".