488984405718240 has 960 divisors, whose sum is σ = 1850116472709120. Its totient is φ = 121411064954880.

The previous prime is 488984405718197. The next prime is 488984405718257. The reversal of 488984405718240 is 42817504489884.

488984405718240 is a `hidden beast` number, since 4 + 8 + 8 + 9 + 8 + 4 + 4 + 0 + 571 + 8 + 2 + 40 = 666.

It is a super-2 number, since 2×488984405718240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1113861024 + ... + 1114299936.

It is an arithmetic number, because the mean of its divisors is an integer number (1927204659072).

Almost surely, 2^{488984405718240} is an apocalyptic number.

488984405718240 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 488984405718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925058236354560).

488984405718240 is an abundant number, since it is smaller than the sum of its proper divisors (1361132066990880).

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

488984405718240 is a wasteful number, since it uses less digits than its factorization.

488984405718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439077 (or 439060 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 72.

The spelling of 488984405718240 in words is "four hundred eighty-eight trillion, nine hundred eighty-four billion, four hundred five million, seven hundred eighteen thousand, two hundred forty".