491950842552000 has 3136 divisors, whose sum is σ = 2192597701257600. Its totient is φ = 107968403865600.

The previous prime is 491950842551989. The next prime is 491950842552011. The reversal of 491950842552000 is 255248059194.

491950842552000 is a `hidden beast` number, since 4 + 9 + 1 + 9 + 5 + 0 + 8 + 425 + 5 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (491950842551989) and next prime (491950842552011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 24488557956 + ... + 24488578044.

It is an arithmetic number, because the mean of its divisors is an integer number (699170185350).

Almost surely, 2^{491950842552000} is an apocalyptic number.

491950842552000 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 491950842552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096298850628800).

491950842552000 is an abundant number, since it is smaller than the sum of its proper divisors (1700646858705600).

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

491950842552000 is a wasteful number, since it uses less digits than its factorization.

491950842552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20183 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 491950842552000 in words is "four hundred ninety-one trillion, nine hundred fifty billion, eight hundred forty-two million, five hundred fifty-two thousand".