461121344406 has 96 divisors (see below), whose sum is σ = 1070880276960. Its totient is φ = 143117356032.

The previous prime is 461121344401. The next prime is 461121344407. The reversal of 461121344406 is 604443121164.

461121344406 is a `hidden beast` number, since 4 + 6 + 112 + 134 + 4 + 406 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461121344401) by changing a digit.

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, 2076841 + ... + 2288123.

It is an arithmetic number, because the mean of its divisors is an integer number (11155002885).

Almost surely, 2^461121344406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461121344406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535440138480).

461121344406 is an abundant number, since it is smaller than the sum of its proper divisors (609758932554).

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

461121344406 is a wasteful number, since it uses less digits than its factorization.

461121344406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211470 (or 211467 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 461121344406 in words is "four hundred sixty-one billion, one hundred twenty-one million, three hundred forty-four thousand, four hundred six".