414146424213 has 24 divisors (see below), whose sum is σ = 614663466560. Its totient is φ = 268557690240.

The previous prime is 414146424179. The next prime is 414146424217. The reversal of 414146424213 is 312424641414.

414146424213 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 4 + 642 + 4 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 414146424213 - 2⁶ = 414146424149 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 (414146424217) 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 23 ways as a sum of consecutive naturals, for example, 2126953 + ... + 2313486.

Almost surely, 2^414146424213 is an apocalyptic number.

414146424213 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

414146424213 is a deficient number, since it is larger than the sum of its proper divisors (200517042347).

414146424213 is a wasteful number, since it uses less digits than its factorization.

414146424213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440729 (or 4440726 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 414146424213 in words is "four hundred fourteen billion, one hundred forty-six million, four hundred twenty-four thousand, two hundred thirteen".