413410110030 has 96 divisors (see below), whose sum is σ = 1121835087360. Its totient is φ = 105427396800.

The previous prime is 413410110019. The next prime is 413410110049. The reversal of 413410110030 is 30011014314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413410109985 and 413410110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11323305 + ... + 11359755.

It is an arithmetic number, because the mean of its divisors is an integer number (11685782160).

Almost surely, 2^413410110030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413410110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560917543680).

413410110030 is an abundant number, since it is smaller than the sum of its proper divisors (708424977330).

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

413410110030 is a wasteful number, since it uses less digits than its factorization.

413410110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41966 (or 41963 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 413410110030 its reverse (30011014314), we get a palindrome (443421124344).

The spelling of 413410110030 in words is "four hundred thirteen billion, four hundred ten million, one hundred ten thousand, thirty".