413120303340 has 96 divisors (see below), whose sum is σ = 1218063383040. Its totient is φ = 104329036800.

The previous prime is 413120303339. The next prime is 413120303347. The reversal of 413120303340 is 43303021314.

It is a self number, because there is not a number n which added to its sum of digits gives 413120303340.

It is not an unprimeable number, because it can be changed into a prime (413120303347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3116820 + ... + 3246660.

It is an arithmetic number, because the mean of its divisors is an integer number (12688160240).

Almost surely, 2^413120303340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413120303340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609031691520).

413120303340 is an abundant number, since it is smaller than the sum of its proper divisors (804943079700).

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

413120303340 is a wasteful number, since it uses less digits than its factorization.

413120303340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132663 (or 132661 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 413120303340 its reverse (43303021314), we get a palindrome (456423324654).

The spelling of 413120303340 in words is "four hundred thirteen billion, one hundred twenty million, three hundred three thousand, three hundred forty".