413033443300 has 36 divisors (see below), whose sum is σ = 949005080100. Its totient is φ = 155494942720.

The previous prime is 413033443297. The next prime is 413033443313. The reversal of 413033443300 is 3344330314.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 198922816 + 412834520484 = 14104^2 + 642522^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121478725 + ... + 121482124.

It is an arithmetic number, because the mean of its divisors is an integer number (26361252225).

Almost surely, 2^413033443300 is an apocalyptic number.

It is an amenable number.

413033443300 is an abundant number, since it is smaller than the sum of its proper divisors (535971636800).

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

413033443300 is a wasteful number, since it uses less digits than its factorization.

413033443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242960880 (or 242960873 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 413033443300 its reverse (3344330314), we get a palindrome (416377773614).

The spelling of 413033443300 in words is "four hundred thirteen billion, thirty-three million, four hundred forty-three thousand, three hundred".