488827081440 has 576 divisors, whose sum is σ = 1775346273792. Its totient is φ = 126966528000.

The previous prime is 488827081439. The next prime is 488827081459. The reversal of 488827081440 is 44180728884.

488827081440 is a `hidden beast` number, since 48 + 8 + 82 + 7 + 0 + 81 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311155855 + ... + 311157425.

It is an arithmetic number, because the mean of its divisors is an integer number (3082198392).

Almost surely, 2^488827081440 is an apocalyptic number.

488827081440 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 488827081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887673136896).

488827081440 is an abundant number, since it is smaller than the sum of its proper divisors (1286519192352).

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

488827081440 is a wasteful number, since it uses less digits than its factorization.

488827081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 488827081440 in words is "four hundred eighty-eight billion, eight hundred twenty-seven million, eighty-one thousand, four hundred forty".