4677281208120 has 256 divisors, whose sum is σ = 14473628467200. Its totient is φ = 1208675381760.

The previous prime is 4677281208079. The next prime is 4677281208133. The reversal of 4677281208120 is 218021827764.

It is a self number, because there is not a number n which added to its sum of digits gives 4677281208120.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 272068725 + ... + 272085915.

It is an arithmetic number, because the mean of its divisors is an integer number (56537611200).

Almost surely, 2^{4677281208120} is an apocalyptic number.

4677281208120 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 4677281208120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236814233600).

4677281208120 is an abundant number, since it is smaller than the sum of its proper divisors (9796347259080).

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

4677281208120 is a wasteful number, since it uses less digits than its factorization.

4677281208120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17810 (or 17806 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 4677281208120 in words is "four trillion, six hundred seventy-seven billion, two hundred eighty-one million, two hundred eight thousand, one hundred twenty".