488461314840 has 192 divisors, whose sum is σ = 1557483206400. Its totient is φ = 122528888832.

The previous prime is 488461314799. The next prime is 488461314871. The reversal of 488461314840 is 48413164884.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129666637 + ... + 129670403.

It is an arithmetic number, because the mean of its divisors is an integer number (8111891700).

Almost surely, 2^488461314840 is an apocalyptic number.

488461314840 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 488461314840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778741603200).

488461314840 is an abundant number, since it is smaller than the sum of its proper divisors (1069021891560).

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

488461314840 is a wasteful number, since it uses less digits than its factorization.

488461314840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 488461314840 in words is "four hundred eighty-eight billion, four hundred sixty-one million, three hundred fourteen thousand, eight hundred forty".