491086485504000 has 960 divisors, whose sum is σ = 1818671802554880. Its totient is φ = 130754602598400.

The previous prime is 491086485503983. The next prime is 491086485504001. The reversal of 491086485504000 is 405584680194.

491086485504000 is a `hidden beast` number, since 4 + 9 + 1 + 0 + 8 + 6 + 48 + 550 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491086485504001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 37767161499 + ... + 37767174501.

It is an arithmetic number, because the mean of its divisors is an integer number (1894449794328).

Almost surely, 2^{491086485504000} is an apocalyptic number.

491086485504000 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 491086485504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909335901277440).

491086485504000 is an abundant number, since it is smaller than the sum of its proper divisors (1327585317050880).

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

491086485504000 is an equidigital number, since it uses as much as digits as its factorization.

491086485504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13738 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 491086485504000 in words is "four hundred ninety-one trillion, eighty-six billion, four hundred eighty-five million, five hundred four thousand".