413310431020 has 192 divisors, whose sum is σ = 983854771200. Its totient is φ = 145075138560.

The previous prime is 413310430999. The next prime is 413310431033. The reversal of 413310431020 is 20134013314.

It is a junction number, because it is equal to n+sod(n) for n = 413310430982 and 413310431000.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 49088371 + ... + 49096789.

It is an arithmetic number, because the mean of its divisors is an integer number (5124243600).

Almost surely, 2^413310431020 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 413310431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491927385600).

413310431020 is an abundant number, since it is smaller than the sum of its proper divisors (570544340180).

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

413310431020 is a wasteful number, since it uses less digits than its factorization.

413310431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 413310431020 its reverse (20134013314), we get a palindrome (433444444334).

The spelling of 413310431020 in words is "four hundred thirteen billion, three hundred ten million, four hundred thirty-one thousand, twenty".