413322410424 has 192 divisors, whose sum is σ = 1298286501120. Its totient is φ = 106528780800.

The previous prime is 413322410407. The next prime is 413322410429. The reversal of 413322410424 is 424014223314.

It is a junction number, because it is equal to n+sod(n) for n = 413322410391 and 413322410400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413322410429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31707012 + ... + 31720044.

It is an arithmetic number, because the mean of its divisors is an integer number (6761908860).

Almost surely, 2^413322410424 is an apocalyptic number.

413322410424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413322410424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649143250560).

413322410424 is an abundant number, since it is smaller than the sum of its proper divisors (884964090696).

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

413322410424 is a wasteful number, since it uses less digits than its factorization.

413322410424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13322 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 413322410424 its reverse (424014223314), we get a palindrome (837336633738).

The spelling of 413322410424 in words is "four hundred thirteen billion, three hundred twenty-two million, four hundred ten thousand, four hundred twenty-four".