413041231134 has 72 divisors (see below), whose sum is σ = 1033424437968. Its totient is φ = 116794828800.

The previous prime is 413041231121. The next prime is 413041231139. The reversal of 413041231134 is 431132140314.

413041231134 is a `hidden beast` number, since 4 + 1 + 304 + 12 + 311 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413041231098 and 413041231107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413041231139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1011334 + ... + 1359734.

It is an arithmetic number, because the mean of its divisors is an integer number (14353117194).

Almost surely, 2^413041231134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413041231134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516712218984).

413041231134 is an abundant number, since it is smaller than the sum of its proper divisors (620383206834).

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

413041231134 is a wasteful number, since it uses less digits than its factorization.

413041231134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348610 (or 348510 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 413041231134 its reverse (431132140314), we get a palindrome (844173371448).

The spelling of 413041231134 in words is "four hundred thirteen billion, forty-one million, two hundred thirty-one thousand, one hundred thirty-four".