414213131311443 has 8 divisors (see below), whose sum is σ = 613649083424400. Its totient is φ = 276142087540944.

The previous prime is 414213131311391. The next prime is 414213131311459. The reversal of 414213131311443 is 344113131312414.

414213131311443 is a `hidden beast` number, since 4 + 1 + 4 + 21 + 313 + 1 + 311 + 4 + 4 + 3 = 666.

It is not a de Polignac number, because 414213131311443 - 2⁴⁵ = 379028759222611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414213131311398 and 414213131311407.

It is not an unprimeable number, because it can be changed into a prime (414213131311843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7670613542778 + ... + 7670613542831.

It is an arithmetic number, because the mean of its divisors is an integer number (76706135428050).

Almost surely, 2^{414213131311443} is an apocalyptic number.

414213131311443 is a deficient number, since it is larger than the sum of its proper divisors (199435952112957).

414213131311443 is a wasteful number, since it uses less digits than its factorization.

414213131311443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341227085618 (or 15341227085612 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 414213131311443 its reverse (344113131312414), we get a palindrome (758326262623857).

The spelling of 414213131311443 in words is "four hundred fourteen trillion, two hundred thirteen billion, one hundred thirty-one million, three hundred eleven thousand, four hundred forty-three".