489855859718400 has 6480 divisors, whose sum is σ = 2370404659392000. Its totient is φ = 99024784588800.

The previous prime is 489855859718363. The next prime is 489855859718447. The reversal of 489855859718400 is 4817958558984.

489855859718400 is a `hidden beast` number, since 4 + 8 + 9 + 8 + 5 + 5 + 8 + 597 + 18 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 489855859718400.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 433884729036 + ... + 433884730164.

Almost surely, 2^{489855859718400} is an apocalyptic number.

489855859718400 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 489855859718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185202329696000).

489855859718400 is an abundant number, since it is smaller than the sum of its proper divisors (1880548799673600).

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

489855859718400 is a wasteful number, since it uses less digits than its factorization.

489855859718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 4644864000, while the sum is 81.

The spelling of 489855859718400 in words is "four hundred eighty-nine trillion, eight hundred fifty-five billion, eight hundred fifty-nine million, seven hundred eighteen thousand, four hundred".