413528626825314 has 192 divisors, whose sum is σ = 1123752951793920. Its totient is φ = 98714759616000.

The previous prime is 413528626825297. The next prime is 413528626825343.

413528626825314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1462464 + ... + 28795764.

It is an arithmetic number, because the mean of its divisors is an integer number (5852879957260).

Almost surely, 2^{413528626825314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413528626825314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561876475896960).

413528626825314 is an abundant number, since it is smaller than the sum of its proper divisors (710224324968606).

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

413528626825314 is a wasteful number, since it uses less digits than its factorization.

413528626825314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27333577 (or 27333566 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 60.

The spelling of 413528626825314 in words is "four hundred thirteen trillion, five hundred twenty-eight billion, six hundred twenty-six million, eight hundred twenty-five thousand, three hundred fourteen".