413303303021120 has 28 divisors (see below), whose sum is σ = 984178490319804. Its totient is φ = 165321321208320.

The previous prime is 413303303021099. The next prime is 413303303021123. The reversal of 413303303021120 is 21120303303314.

It can be written as a sum of positive squares in 2 ways, for example, as 268409504371264 + 144893798649856 = 16383208^2 + 12037184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413303303021120.

It is not an unprimeable number, because it can be changed into a prime (413303303021123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 645786410651 + ... + 645786411290.

Almost surely, 2^{413303303021120} is an apocalyptic number.

413303303021120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413303303021120 is an abundant number, since it is smaller than the sum of its proper divisors (570875187298684).

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

413303303021120 is a wasteful number, since it uses less digits than its factorization.

413303303021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291572821958 (or 1291572821948 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 413303303021120 its reverse (21120303303314), we get a palindrome (434423606324434).

The spelling of 413303303021120 in words is "four hundred thirteen trillion, three hundred three billion, three hundred three million, twenty-one thousand, one hundred twenty".