491465436000 has 768 divisors, whose sum is σ = 2076654827520. Its totient is φ = 98595840000.

The previous prime is 491465435987. The next prime is 491465436001. The reversal of 491465436000 is 634564194.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491465436001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26786830 + ... + 26805170.

It is an arithmetic number, because the mean of its divisors is an integer number (2703977640).

Almost surely, 2^491465436000 is an apocalyptic number.

491465436000 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 491465436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038327413760).

491465436000 is an abundant number, since it is smaller than the sum of its proper divisors (1585189391520).

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

491465436000 is a wasteful number, since it uses less digits than its factorization.

491465436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18416 (or 18398 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 491465436000 in words is "four hundred ninety-one billion, four hundred sixty-five million, four hundred thirty-six thousand".