414423101324414 has 64 divisors (see below), whose sum is σ = 772789929246720. Its totient is φ = 162297888451200.

The previous prime is 414423101324377. The next prime is 414423101324423.

414423101324414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414423101324414² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 111085607 + ... + 114755645.

It is an arithmetic number, because the mean of its divisors is an integer number (12074842644480).

Almost surely, 2^{414423101324414} is an apocalyptic number.

414423101324414 is a deficient number, since it is larger than the sum of its proper divisors (358366827922306).

414423101324414 is a wasteful number, since it uses less digits than its factorization.

414423101324414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676305.

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 41442310 and 1324414, that added together give a palindrome (42766724).

The spelling of 414423101324414 in words is "four hundred fourteen trillion, four hundred twenty-three billion, one hundred one million, three hundred twenty-four thousand, four hundred fourteen".