488628300444120 has 192 divisors, whose sum is σ = 1621926399075840. Its totient is φ = 127520949024000.

The previous prime is 488628300444083. The next prime is 488628300444131. The reversal of 488628300444120 is 21444003826884.

It is a happy number.

488628300444120 is a `hidden beast` number, since 4 + 8 + 8 + 628 + 3 + 0 + 0 + 4 + 4 + 4 + 1 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286977295 + ... + 288674945.

It is an arithmetic number, because the mean of its divisors is an integer number (8447533328520).

Almost surely, 2^{488628300444120} is an apocalyptic number.

488628300444120 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 488628300444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810963199537920).

488628300444120 is an abundant number, since it is smaller than the sum of its proper divisors (1133298098631720).

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

488628300444120 is a wasteful number, since it uses less digits than its factorization.

488628300444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714726 (or 1714719 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 488628300444120 in words is "four hundred eighty-eight trillion, six hundred twenty-eight billion, three hundred million, four hundred forty-four thousand, one hundred twenty".