414034232413 has 16 divisors (see below), whose sum is σ = 435390726960. Its totient is φ = 393151449600.

The previous prime is 414034232401. The next prime is 414034232419. The reversal of 414034232413 is 314232430414.

It can be written as a sum of positive squares in 8 ways, for example, as 11669832729 + 402364399684 = 108027^2 + 634322^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414034232413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414034232419) by changing a digit.

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, 22345593 + ... + 22364113.

It is an arithmetic number, because the mean of its divisors is an integer number (27211920435).

Almost surely, 2^414034232413 is an apocalyptic number.

It is an amenable number.

414034232413 is a deficient number, since it is larger than the sum of its proper divisors (21356494547).

414034232413 is a wasteful number, since it uses less digits than its factorization.

414034232413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31248.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 414034232413 its reverse (314232430414), we get a palindrome (728266662827).

The spelling of 414034232413 in words is "four hundred fourteen billion, thirty-four million, two hundred thirty-two thousand, four hundred thirteen".