491936040960 has 1152 divisors, whose sum is σ = 2059190864640. Its totient is φ = 99189522432.

The previous prime is 491936040949. The next prime is 491936040961. The reversal of 491936040960 is 69040639194.

It is not an unprimeable number, because it can be changed into a prime (491936040961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450078174 + ... + 450079266.

It is an arithmetic number, because the mean of its divisors is an integer number (1787492070).

Almost surely, 2^491936040960 is an apocalyptic number.

491936040960 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 491936040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029595432320).

491936040960 is an abundant number, since it is smaller than the sum of its proper divisors (1567254823680).

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

491936040960 is a wasteful number, since it uses less digits than its factorization.

491936040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 491936040960 in words is "four hundred ninety-one billion, nine hundred thirty-six million, forty thousand, nine hundred sixty".