413241454512 has 400 divisors, whose sum is σ = 1272509045280. Its totient is φ = 129243340800.

The previous prime is 413241454511. The next prime is 413241454523. The reversal of 413241454512 is 215454142314.

413241454512 is a `hidden beast` number, since 4 + 132 + 4 + 1 + 4 + 5 + 4 + 512 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (413241454511) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389482462 + ... + 389483522.

Almost surely, 2^413241454512 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 413241454512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636254522640).

413241454512 is an abundant number, since it is smaller than the sum of its proper divisors (859267590768).

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

413241454512 is a wasteful number, since it uses less digits than its factorization.

413241454512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1379 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 413241454512 its reverse (215454142314), we get a palindrome (628695596826).

The spelling of 413241454512 in words is "four hundred thirteen billion, two hundred forty-one million, four hundred fifty-four thousand, five hundred twelve".