488056803840 has 800 divisors, whose sum is σ = 1821065788080. Its totient is φ = 124779626496.

The previous prime is 488056803833. The next prime is 488056803881. The reversal of 488056803840 is 48308650884.

488056803840 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 568 + 0 + 38 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 262652150016 + 225404653824 = 512496^2 + 474768^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1665722734 + ... + 1665723026.

Almost surely, 2^488056803840 is an apocalyptic number.

488056803840 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 488056803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910532894040).

488056803840 is an abundant number, since it is smaller than the sum of its proper divisors (1333008984240).

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

488056803840 is a wasteful number, since it uses less digits than its factorization.

488056803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 488056803840 in words is "four hundred eighty-eight billion, fifty-six million, eight hundred three thousand, eight hundred forty".