491131594137600 has 8064 divisors, whose sum is σ = 2300025988915200. Its totient is φ = 98660096409600.

The previous prime is 491131594137599. The next prime is 491131594137641. The reversal of 491131594137600 is 6731495131194.

It is a happy number.

491131594137600 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 3 + 15 + 9 + 4 + 13 + 7 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 5518332518356 + ... + 5518332518444.

It is an arithmetic number, because the mean of its divisors is an integer number (285221476800).

Almost surely, 2^{491131594137600} is an apocalyptic number.

491131594137600 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 491131594137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150012994457600).

491131594137600 is an abundant number, since it is smaller than the sum of its proper divisors (1808894394777600).

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

491131594137600 is a wasteful number, since it uses less digits than its factorization.

491131594137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 491131594137600 in words is "four hundred ninety-one trillion, one hundred thirty-one billion, five hundred ninety-four million, one hundred thirty-seven thousand, six hundred".