414200314431 has 24 divisors (see below), whose sum is σ = 629836987520. Its totient is φ = 261575802576.

The previous prime is 414200314361. The next prime is 414200314439. The reversal of 414200314431 is 134413002414.

414200314431 is a `hidden beast` number, since 4 + 14 + 200 + 3 + 1 + 443 + 1 = 666.

It is not a de Polignac number, because 414200314431 - 2¹⁰ = 414200313407 is a prime.

It is a super-2 number, since 2×414200314431² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414200314395 and 414200314404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414200314439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1822776 + ... + 2037378.

Almost surely, 2^414200314431 is an apocalyptic number.

414200314431 is a deficient number, since it is larger than the sum of its proper divisors (215636673089).

414200314431 is a wasteful number, since it uses less digits than its factorization.

414200314431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225915 (or 225912 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414200314431 its reverse (134413002414), we get a palindrome (548613316845).

The spelling of 414200314431 in words is "four hundred fourteen billion, two hundred million, three hundred fourteen thousand, four hundred thirty-one".