491168195280 has 1200 divisors, whose sum is σ = 2104527957840. Its totient is φ = 105670656000.

The previous prime is 491168195257. The next prime is 491168195299. The reversal of 491168195280 is 82591861194.

491168195280 is a `hidden beast` number, since 4 + 91 + 16 + 8 + 19 + 528 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 210581867664 + 280586327616 = 458892^2 + 529704^2 .

It is a super-2 number, since 2×491168195280² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 377530630 + ... + 377531930.

Almost surely, 2^491168195280 is an apocalyptic number.

491168195280 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 491168195280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052263978920).

491168195280 is an abundant number, since it is smaller than the sum of its proper divisors (1613359762560).

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

491168195280 is a wasteful number, since it uses less digits than its factorization.

491168195280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 491168195280 in words is "four hundred ninety-one billion, one hundred sixty-eight million, one hundred ninety-five thousand, two hundred eighty".