414231132033 has 20 divisors (see below), whose sum is σ = 619224736768. Its totient is φ = 275959946520.

The previous prime is 414231131987. The next prime is 414231132041. The reversal of 414231132033 is 330231132414.

It is a happy number.

414231132033 is a `hidden beast` number, since 4 + 142 + 311 + 3 + 203 + 3 = 666.

It is not a de Polignac number, because 414231132033 - 2⁶ = 414231131969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414231131988 and 414231132006.

It is not an unprimeable number, because it can be changed into a prime (414231132053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1681633 + ... + 1912158.

Almost surely, 2^414231132033 is an apocalyptic number.

It is an amenable number.

414231132033 is a deficient number, since it is larger than the sum of its proper divisors (204993604735).

414231132033 is a wasteful number, since it uses less digits than its factorization.

414231132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595226 (or 3595217 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 414231132033 its reverse (330231132414), we get a palindrome (744462264447).

The spelling of 414231132033 in words is "four hundred fourteen billion, two hundred thirty-one million, one hundred thirty-two thousand, thirty-three".