4881125645760 has 1792 divisors, whose sum is σ = 20233492070400. Its totient is φ = 969463627776.

The previous prime is 4881125645719. The next prime is 4881125645761. The reversal of 4881125645760 is 675465211884.

It is a self number, because there is not a number n which added to its sum of digits gives 4881125645760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4881125645761) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 29228297197 + ... + 29228297363.

It is an arithmetic number, because the mean of its divisors is an integer number (11291011200).

Almost surely, 2^{4881125645760} is an apocalyptic number.

4881125645760 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 4881125645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116746035200).

4881125645760 is an abundant number, since it is smaller than the sum of its proper divisors (15352366424640).

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

4881125645760 is a wasteful number, since it uses less digits than its factorization.

4881125645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 4881125645760 in words is "four trillion, eight hundred eighty-one billion, one hundred twenty-five million, six hundred forty-five thousand, seven hundred sixty".