4882743794880 has 1008 divisors, whose sum is σ = 20342198283264. Its totient is φ = 1052882841600.

The previous prime is 4882743794849. The next prime is 4882743794921. The reversal of 4882743794880 is 884973472884.

It is a happy number.

4882743794880 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 74 + 3 + 79 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4882743794799 and 4882743794808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1914049605 + ... + 1914052155.

Almost surely, 2^{4882743794880} is an apocalyptic number.

4882743794880 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 4882743794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171099141632).

4882743794880 is an abundant number, since it is smaller than the sum of its proper divisors (15459454488384).

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

4882743794880 is a wasteful number, since it uses less digits than its factorization.

4882743794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 4882743794880 in words is "four trillion, eight hundred eighty-two billion, seven hundred forty-three million, seven hundred ninety-four thousand, eight hundred eighty".