491134684340160 has 1792 divisors, whose sum is σ = 2152776982118400. Its totient is φ = 102905763545088.

The previous prime is 491134684340119. The next prime is 491134684340171. The reversal of 491134684340160 is 61043486431194.

It is a happy number.

491134684340160 is a `hidden beast` number, since 4 + 9 + 1 + 1 + 3 + 46 + 8 + 434 + 0 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 491134684340097 and 491134684340106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5287054674 + ... + 5287147566.

Almost surely, 2^{491134684340160} is an apocalyptic number.

491134684340160 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 491134684340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076388491059200).

491134684340160 is an abundant number, since it is smaller than the sum of its proper divisors (1661642297778240).

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

491134684340160 is a wasteful number, since it uses less digits than its factorization.

491134684340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93095 (or 93079 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 491134684340160 in words is "four hundred ninety-one trillion, one hundred thirty-four billion, six hundred eighty-four million, three hundred forty thousand, one hundred sixty".