316405313406 has 288 divisors, whose sum is σ = 882308700000. Its totient is φ = 81176739840.

The previous prime is 316405313381. The next prime is 316405313423. The reversal of 316405313406 is 604313504613.

316405313406 is a `hidden beast` number, since 3 + 1 + 640 + 5 + 3 + 1 + 3 + 4 + 0 + 6 = 666.

It is a super-3 number, since 3×316405313406³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211076845 + ... + 211078343.

It is an arithmetic number, because the mean of its divisors is an integer number (3063571875).

Almost surely, 2^316405313406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316405313406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441154350000).

316405313406 is an abundant number, since it is smaller than the sum of its proper divisors (565903386594).

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

316405313406 is a wasteful number, since it uses less digits than its factorization.

316405313406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 316405313406 in words is "three hundred sixteen billion, four hundred five million, three hundred thirteen thousand, four hundred six".