413303210320 has 160 divisors (see below), whose sum is σ = 1290199921920. Its totient is φ = 118912389120.

The previous prime is 413303210311. The next prime is 413303210321. The reversal of 413303210320 is 23012303314.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 413303210291 and 413303210300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413303210321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2500485 + ... + 2660644.

It is an arithmetic number, because the mean of its divisors is an integer number (8063749512).

Almost surely, 2^413303210320 is an apocalyptic number.

413303210320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413303210320 is an abundant number, since it is smaller than the sum of its proper divisors (876896711600).

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

413303210320 is a wasteful number, since it uses less digits than its factorization.

413303210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161173 (or 5161167 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 413303210320 its reverse (23012303314), we get a palindrome (436315513634).

The spelling of 413303210320 in words is "four hundred thirteen billion, three hundred three million, two hundred ten thousand, three hundred twenty".