414013415105 has 16 divisors (see below), whose sum is σ = 519021264384. Its totient is φ = 316664739840.

The previous prime is 414013415059. The next prime is 414013415113. The reversal of 414013415105 is 501514310414.

It is not a de Polignac number, because 414013415105 - 2³⁴ = 396833545921 is a prime.

It is a super-2 number, since 2×414013415105² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16077824 + ... + 16103553.

It is an arithmetic number, because the mean of its divisors is an integer number (32438829024).

Almost surely, 2^414013415105 is an apocalyptic number.

It is an amenable number.

414013415105 is a deficient number, since it is larger than the sum of its proper divisors (105007849279).

414013415105 is a wasteful number, since it uses less digits than its factorization.

414013415105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32181496.

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 414013415105 its reverse (501514310414), we get a palindrome (915527725519).

The spelling of 414013415105 in words is "four hundred fourteen billion, thirteen million, four hundred fifteen thousand, one hundred five".