491974560000000 has 7680 divisors, whose sum is σ = 2508437015884800. Its totient is φ = 92897280000000.

The previous prime is 491974559999863. The next prime is 491974560000037. The reversal of 491974560000000 is 65479194.

491974560000000 is a `hidden beast` number, since 4 + 9 + 19 + 74 + 560 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 16964639999986 + ... + 16964640000014.

It is an arithmetic number, because the mean of its divisors is an integer number (326619403110).

Almost surely, 2^{491974560000000} is an apocalyptic number.

491974560000000 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 491974560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254218507942400).

491974560000000 is an abundant number, since it is smaller than the sum of its proper divisors (2016462455884800).

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

491974560000000 is an frugal number, since it uses more digits than its factorization.

491974560000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 491974560000000 in words is "four hundred ninety-one trillion, nine hundred seventy-four billion, five hundred sixty million", and thus it is an aban number.