488488373738640 has 2400 divisors, whose sum is σ = 2052002043463680. Its totient is φ = 107132129280000.

The previous prime is 488488373738639. The next prime is 488488373738669. The reversal of 488488373738640 is 46837373884884.

488488373738640 is a `hidden beast` number, since 4 + 8 + 8 + 488 + 3 + 7 + 3 + 73 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×488488373738640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 488488373738640.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 62394730246 + ... + 62394738074.

Almost surely, 2^{488488373738640} is an apocalyptic number.

488488373738640 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 488488373738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026001021731840).

488488373738640 is an abundant number, since it is smaller than the sum of its proper divisors (1563513669725040).

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

488488373738640 is a wasteful number, since it uses less digits than its factorization.

488488373738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8075 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 16647192576, while the sum is 81.

The spelling of 488488373738640 in words is "four hundred eighty-eight trillion, four hundred eighty-eight billion, three hundred seventy-three million, seven hundred thirty-eight thousand, six hundred forty".