414034131113 has 8 divisors (see below), whose sum is σ = 438400162080. Its totient is φ = 389669331520.

The previous prime is 414034131107. The next prime is 414034131131. The reversal of 414034131113 is 311131430414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414034131113 - 2⁸ = 414034130857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414034131143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435758 + ... + 1008936.

It is an arithmetic number, because the mean of its divisors is an integer number (54800020260).

Almost surely, 2^414034131113 is an apocalyptic number.

It is an amenable number.

414034131113 is a deficient number, since it is larger than the sum of its proper divisors (24366030967).

414034131113 is a wasteful number, since it uses less digits than its factorization.

414034131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615687.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 414034131113 its reverse (311131430414), we get a palindrome (725165561527).

The spelling of 414034131113 in words is "four hundred fourteen billion, thirty-four million, one hundred thirty-one thousand, one hundred thirteen".