413021004324 has 96 divisors (see below), whose sum is σ = 1061911388160. Its totient is φ = 124442438400.

The previous prime is 413021004317. The next prime is 413021004373. The reversal of 413021004324 is 423400120314.

It is a junction number, because it is equal to n+sod(n) for n = 413021004294 and 413021004303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90312 + ... + 913344.

It is an arithmetic number, because the mean of its divisors is an integer number (11061576960).

Almost surely, 2^413021004324 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 413021004324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530955694080).

413021004324 is an abundant number, since it is smaller than the sum of its proper divisors (648890383836).

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

413021004324 is a wasteful number, since it uses less digits than its factorization.

413021004324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823161 (or 823159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413021004324 its reverse (423400120314), we get a palindrome (836421124638).

The spelling of 413021004324 in words is "four hundred thirteen billion, twenty-one million, four thousand, three hundred twenty-four".