488668440289120 has 288 divisors, whose sum is σ = 1434998572777728. Its totient is φ = 153974191048704.

The previous prime is 488668440289111. The next prime is 488668440289153. The reversal of 488668440289120 is 21982044866884.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 488668440289120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37279947 + ... + 48653173.

It is an arithmetic number, because the mean of its divisors is an integer number (4982633933256).

Almost surely, 2^{488668440289120} is an apocalyptic number.

488668440289120 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 488668440289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717499286388864).

488668440289120 is an abundant number, since it is smaller than the sum of its proper divisors (946330132488608).

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

488668440289120 is a wasteful number, since it uses less digits than its factorization.

488668440289120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11373502 (or 11373481 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 70.

The spelling of 488668440289120 in words is "four hundred eighty-eight trillion, six hundred sixty-eight billion, four hundred forty million, two hundred eighty-nine thousand, one hundred twenty".