413140443004134 has 32 divisors (see below), whose sum is σ = 918219018924000. Its totient is φ = 137694109164192.

The previous prime is 413140443004117. The next prime is 413140443004151. The reversal of 413140443004134 is 431400344041314.

413140443004134 is a `hidden beast` number, since 4 + 1 + 3 + 140 + 443 + 0 + 0 + 41 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (413140443004117) and next prime (413140443004151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537719149 + ... + 538486920.

It is an arithmetic number, because the mean of its divisors is an integer number (28694344341375).

Almost surely, 2^{413140443004134} is an apocalyptic number.

413140443004134 is an abundant number, since it is smaller than the sum of its proper divisors (505078575919866).

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

413140443004134 is a wasteful number, since it uses less digits than its factorization.

413140443004134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076213189 (or 1076213183 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 413140443004134 its reverse (431400344041314), we get a palindrome (844540787045448).

The spelling of 413140443004134 in words is "four hundred thirteen trillion, one hundred forty billion, four hundred forty-three million, four thousand, one hundred thirty-four".