414012403431 has 36 divisors (see below), whose sum is σ = 657468848400. Its totient is φ = 250861881600.

The previous prime is 414012403403. The next prime is 414012403433. The reversal of 414012403431 is 134304210414.

414012403431 is a `hidden beast` number, since 41 + 40 + 1 + 240 + 343 + 1 = 666.

It is not a de Polignac number, because 414012403431 - 2¹⁵ = 414012370663 is a prime.

It is a super-2 number, since 2×414012403431² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414012403395 and 414012403404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414012403433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5265495 + ... + 5343543.

Almost surely, 2^414012403431 is an apocalyptic number.

414012403431 is a deficient number, since it is larger than the sum of its proper divisors (243456444969).

414012403431 is a wasteful number, since it uses less digits than its factorization.

414012403431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82948 (or 82934 counting only the distinct ones).

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

Adding to 414012403431 its reverse (134304210414), we get a palindrome (548316613845).

The spelling of 414012403431 in words is "four hundred fourteen billion, twelve million, four hundred three thousand, four hundred thirty-one".