491351379217776 has 3200 divisors, whose sum is σ = 1994930272862208. Its totient is φ = 112860241920000.

The previous prime is 491351379217603. The next prime is 491351379217789. The reversal of 491351379217776 is 677712973153194.

491351379217776 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 513 + 7 + 92 + 17 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 338629481851 + ... + 338629483301.

Almost surely, 2^{491351379217776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491351379217776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997465136431104).

491351379217776 is an abundant number, since it is smaller than the sum of its proper divisors (1503578893644432).

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

491351379217776 is a wasteful number, since it uses less digits than its factorization.

491351379217776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1706 counting only the distinct ones).

The product of its digits is 420078960, while the sum is 72.

The spelling of 491351379217776 in words is "four hundred ninety-one trillion, three hundred fifty-one billion, three hundred seventy-nine million, two hundred seventeen thousand, seven hundred seventy-six".