491672641200 has 240 divisors, whose sum is σ = 1699543722240. Its totient is φ = 120784573440.

The previous prime is 491672641193. The next prime is 491672641259. The reversal of 491672641200 is 2146276194.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×491672641200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7815471 + ... + 7878129.

It is an arithmetic number, because the mean of its divisors is an integer number (7081432176).

Almost surely, 2^491672641200 is an apocalyptic number.

491672641200 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 491672641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849771861120).

491672641200 is an abundant number, since it is smaller than the sum of its proper divisors (1207871081040).

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

491672641200 is a wasteful number, since it uses less digits than its factorization.

491672641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63196 (or 63185 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 491672641200 in words is "four hundred ninety-one billion, six hundred seventy-two million, six hundred forty-one thousand, two hundred".