488290589138880 has 4032 divisors, whose sum is σ = 2042625695385600. Its totient is φ = 106067973242880.

The previous prime is 488290589138867. The next prime is 488290589138959. The reversal of 488290589138880 is 88831985092884.

488290589138880 is a `hidden beast` number, since 4 + 8 + 8 + 29 + 0 + 58 + 91 + 388 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 488290589138880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2822488954474 + ... + 2822488954646.

Almost surely, 2^{488290589138880} is an apocalyptic number.

488290589138880 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 488290589138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021312847692800).

488290589138880 is an abundant number, since it is smaller than the sum of its proper divisors (1554335106246720).

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

488290589138880 is a wasteful number, since it uses less digits than its factorization.

488290589138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2548039680, while the sum is 81.

The spelling of 488290589138880 in words is "four hundred eighty-eight trillion, two hundred ninety billion, five hundred eighty-nine million, one hundred thirty-eight thousand, eight hundred eighty".