413043120312 has 256 divisors, whose sum is σ = 1161464832000. Its totient is φ = 121818857472.

The previous prime is 413043120311. The next prime is 413043120361. The reversal of 413043120312 is 213021340314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413043120311) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 56047764 + ... + 56055132.

It is an arithmetic number, because the mean of its divisors is an integer number (4536972000).

Almost surely, 2^413043120312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413043120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580732416000).

413043120312 is an abundant number, since it is smaller than the sum of its proper divisors (748421711688).

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

413043120312 is a wasteful number, since it uses less digits than its factorization.

413043120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413043120312 its reverse (213021340314), we get a palindrome (626064460626).

The spelling of 413043120312 in words is "four hundred thirteen billion, forty-three million, one hundred twenty thousand, three hundred twelve".