491801505330240 has 336 divisors, whose sum is σ = 1934169497769600. Its totient is φ = 112358208061440.

The previous prime is 491801505330221. The next prime is 491801505330251. The reversal of 491801505330240 is 42033505108194.

491801505330240 is a `hidden beast` number, since 4 + 9 + 1 + 80 + 15 + 0 + 533 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36504760 + ... + 48126920.

It is an arithmetic number, because the mean of its divisors is an integer number (5756456838600).

Almost surely, 2^{491801505330240} is an apocalyptic number.

491801505330240 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 491801505330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967084748884800).

491801505330240 is an abundant number, since it is smaller than the sum of its proper divisors (1442367992439360).

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

491801505330240 is a wasteful number, since it uses less digits than its factorization.

491801505330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11624290 (or 11624277 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 491801505330240 in words is "four hundred ninety-one trillion, eight hundred one billion, five hundred five million, three hundred thirty thousand, two hundred forty".