413010410432 has 112 divisors (see below), whose sum is σ = 840364019040. Its totient is φ = 201329971200.

The previous prime is 413010410413. The next prime is 413010410443. The reversal of 413010410432 is 234014010314.

It is a junction number, because it is equal to n+sod(n) for n = 413010410398 and 413010410407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 369749138 + ... + 369750254.

It is an arithmetic number, because the mean of its divisors is an integer number (7503250170).

Almost surely, 2^413010410432 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 413010410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420182009520).

413010410432 is an abundant number, since it is smaller than the sum of its proper divisors (427353608608).

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

413010410432 is a wasteful number, since it uses less digits than its factorization.

413010410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 413010410432 its reverse (234014010314), we get a palindrome (647024420746).

The spelling of 413010410432 in words is "four hundred thirteen billion, ten million, four hundred ten thousand, four hundred thirty-two".