491740048800 has 3888 divisors, whose sum is σ = 2593658182752. Its totient is φ = 89355571200.

The previous prime is 491740048777. The next prime is 491740048817. The reversal of 491740048800 is 8840047194.

491740048800 is a `hidden beast` number, since 491 + 7 + 40 + 0 + 48 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 25881055191 + ... + 25881055209.

It is an arithmetic number, because the mean of its divisors is an integer number (667093154).

Almost surely, 2^491740048800 is an apocalyptic number.

491740048800 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 491740048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296829091376).

491740048800 is an abundant number, since it is smaller than the sum of its proper divisors (2101918133952).

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

491740048800 is a wasteful number, since it uses less digits than its factorization.

491740048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 491740048800 in words is "four hundred ninety-one billion, seven hundred forty million, forty-eight thousand, eight hundred".