413004030420 has 96 divisors (see below), whose sum is σ = 1174372028928. Its totient is φ = 108425826432.

The previous prime is 413004030407. The next prime is 413004030421. The reversal of 413004030420 is 24030400314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413004030421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6896647 + ... + 6956273.

It is an arithmetic number, because the mean of its divisors is an integer number (12233041968).

Almost surely, 2^413004030420 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 413004030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587186014464).

413004030420 is an abundant number, since it is smaller than the sum of its proper divisors (761367998508).

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

413004030420 is a wasteful number, since it uses less digits than its factorization.

413004030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61429 (or 61427 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 413004030420 its reverse (24030400314), we get a palindrome (437034430734).

The spelling of 413004030420 in words is "four hundred thirteen billion, four million, thirty thousand, four hundred twenty".