413042444202312 has 192 divisors, whose sum is σ = 1223234719200000. Its totient is φ = 125409781453824.

The previous prime is 413042444202301. The next prime is 413042444202343. The reversal of 413042444202312 is 213202444240314.

413042444202312 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 4 + 2 + 444 + 202 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×413042444202312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12299637 + ... + 31262852.

It is an arithmetic number, because the mean of its divisors is an integer number (6371014162500).

Almost surely, 2^{413042444202312} is an apocalyptic number.

It is an amenable number.

413042444202312 is an abundant number, since it is smaller than the sum of its proper divisors (810192274997688).

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

413042444202312 is a wasteful number, since it uses less digits than its factorization.

413042444202312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43562788 (or 43562781 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 413042444202312 its reverse (213202444240314), we get a palindrome (626244888442626).

The spelling of 413042444202312 in words is "four hundred thirteen trillion, forty-two billion, four hundred forty-four million, two hundred two thousand, three hundred twelve".