491269954560 has 1056 divisors, whose sum is σ = 2011374208512. Its totient is φ = 101491998720.

The previous prime is 491269954507. The next prime is 491269954577. The reversal of 491269954560 is 65459962194.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×491269954560³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 491269954494 and 491269954503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2839710634 + ... + 2839710806.

Almost surely, 2^491269954560 is an apocalyptic number.

491269954560 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 491269954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005687104256).

491269954560 is an abundant number, since it is smaller than the sum of its proper divisors (1520104253952).

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

491269954560 is an equidigital number, since it uses as much as digits as its factorization.

491269954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 491269954560 in words is "four hundred ninety-one billion, two hundred sixty-nine million, nine hundred fifty-four thousand, five hundred sixty".