486608855040 has 2016 divisors, whose sum is σ = 2237608488960. Its totient is φ = 96613171200.

The previous prime is 486608855027. The next prime is 486608855069. The reversal of 486608855040 is 40558806684.

486608855040 is a `hidden beast` number, since 4 + 8 + 6 + 6 + 0 + 88 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6159605721 + ... + 6159605799.

Almost surely, 2^486608855040 is an apocalyptic number.

486608855040 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 486608855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118804244480).

486608855040 is an abundant number, since it is smaller than the sum of its proper divisors (1750999633920).

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

486608855040 is a wasteful number, since it uses less digits than its factorization.

486608855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 486608855040 in words is "four hundred eighty-six billion, six hundred eight million, eight hundred fifty-five thousand, forty".