413541712404 has 36 divisors (see below), whose sum is σ = 1045384936596. Its totient is φ = 137841516288.

The previous prime is 413541712333. The next prime is 413541712427. The reversal of 413541712404 is 404217145314.

413541712404 is a `hidden beast` number, since 4 + 1 + 3 + 541 + 71 + 2 + 40 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73013444100 + 340528268304 = 270210^2 + 583548^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690652 + ... + 1141964.

It is an arithmetic number, because the mean of its divisors is an integer number (29038470461).

Almost surely, 2^413541712404 is an apocalyptic number.

It is an amenable number.

413541712404 is an abundant number, since it is smaller than the sum of its proper divisors (631843224192).

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

413541712404 is a wasteful number, since it uses less digits than its factorization.

413541712404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476776 (or 476771 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 413541712404 its reverse (404217145314), we get a palindrome (817758857718).

The spelling of 413541712404 in words is "four hundred thirteen billion, five hundred forty-one million, seven hundred twelve thousand, four hundred four".