488607387840 has 896 divisors, whose sum is σ = 2090532003840. Its totient is φ = 105803366400.

The previous prime is 488607387839. The next prime is 488607387859. The reversal of 488607387840 is 48783706884.

488607387840 is a `hidden beast` number, since 488 + 6 + 0 + 73 + 8 + 7 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38294742 + ... + 38307498.

It is an arithmetic number, because the mean of its divisors is an integer number (2333183040).

Almost surely, 2^488607387840 is an apocalyptic number.

488607387840 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 488607387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045266001920).

488607387840 is an abundant number, since it is smaller than the sum of its proper divisors (1601924616000).

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

488607387840 is a wasteful number, since it uses less digits than its factorization.

488607387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12838 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 488607387840 in words is "four hundred eighty-eight billion, six hundred seven million, three hundred eighty-seven thousand, eight hundred forty".