413300412401300 has 72 divisors (see below), whose sum is σ = 900416467017144. Its totient is φ = 164665036963840.

The previous prime is 413300412401297. The next prime is 413300412401351. The reversal of 413300412401300 is 3104214003314.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 49799724699664 + 363500687701636 = 7056892^2 + 19065694^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413300412401300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360692882 + ... + 361836918.

It is an arithmetic number, because the mean of its divisors is an integer number (12505784264127).

Almost surely, 2^{413300412401300} is an apocalyptic number.

It is an amenable number.

413300412401300 is an abundant number, since it is smaller than the sum of its proper divisors (487116054615844).

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

413300412401300 is a wasteful number, since it uses less digits than its factorization.

413300412401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158365 (or 1158358 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 413300412401300 its reverse (3104214003314), we get a palindrome (416404626404614).

The spelling of 413300412401300 in words is "four hundred thirteen trillion, three hundred billion, four hundred twelve million, four hundred one thousand, three hundred".