461242093319406 has 384 divisors, whose sum is σ = 1257319200384000. Its totient is φ = 121694378158080.

The previous prime is 461242093319387. The next prime is 461242093319477. The reversal of 461242093319406 is 604913390242164.

It is a happy number.

461242093319406 is a `hidden beast` number, since 4 + 6 + 1 + 24 + 209 + 3 + 3 + 1 + 9 + 406 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3226232481 + ... + 3226375443.

It is an arithmetic number, because the mean of its divisors is an integer number (3274268751000).

Almost surely, 2^{461242093319406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461242093319406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628659600192000).

461242093319406 is an abundant number, since it is smaller than the sum of its proper divisors (796077107064594).

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

461242093319406 is a wasteful number, since it uses less digits than its factorization.

461242093319406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143589 (or 143572 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 461242093319406 in words is "four hundred sixty-one trillion, two hundred forty-two billion, ninety-three million, three hundred nineteen thousand, four hundred six".