461316082080 has 576 divisors, whose sum is σ = 1768247470080. Its totient is φ = 100610205696.

The previous prime is 461316082043. The next prime is 461316082099. The reversal of 461316082080 is 80280613164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295904341 + ... + 295905899.

It is an arithmetic number, because the mean of its divisors is an integer number (3069874080).

Almost surely, 2^461316082080 is an apocalyptic number.

461316082080 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 461316082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884123735040).

461316082080 is an abundant number, since it is smaller than the sum of its proper divisors (1306931388000).

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

461316082080 is a wasteful number, since it uses less digits than its factorization.

461316082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 461316082080 in words is "four hundred sixty-one billion, three hundred sixteen million, eighty-two thousand, eighty".