4840981750800 has 2880 divisors, whose sum is σ = 21685049568000. Its totient is φ = 1023356436480.

The previous prime is 4840981750763. The next prime is 4840981750811. The reversal of 4840981750800 is 80571890484.

4840981750800 is a `hidden beast` number, since 4 + 8 + 40 + 98 + 1 + 7 + 508 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 575 ways as a sum of consecutive naturals, for example, 11836140996 + ... + 11836141404.

It is an arithmetic number, because the mean of its divisors is an integer number (7529531100).

Almost surely, 2^{4840981750800} is an apocalyptic number.

4840981750800 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 4840981750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10842524784000).

4840981750800 is an abundant number, since it is smaller than the sum of its proper divisors (16844067817200).

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

4840981750800 is a wasteful number, since it uses less digits than its factorization.

4840981750800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 4840981750800 in words is "four trillion, eight hundred forty billion, nine hundred eighty-one million, seven hundred fifty thousand, eight hundred".