491220553824 has 432 divisors, whose sum is σ = 1885889101824. Its totient is φ = 117774259200.

The previous prime is 491220553801. The next prime is 491220553903. The reversal of 491220553824 is 428355022194.

491220553824 is a `hidden beast` number, since 4 + 9 + 12 + 2 + 0 + 553 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 491220553824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3682209 + ... + 3813279.

It is an arithmetic number, because the mean of its divisors is an integer number (4365484032).

Almost surely, 2^491220553824 is an apocalyptic number.

491220553824 is a gapful number since it is divisible by the number (44) 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 491220553824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942944550912).

491220553824 is an abundant number, since it is smaller than the sum of its proper divisors (1394668548000).

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

491220553824 is a wasteful number, since it uses less digits than its factorization.

491220553824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131131 (or 131107 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 491220553824 in words is "four hundred ninety-one billion, two hundred twenty million, five hundred fifty-three thousand, eight hundred twenty-four".