414024120234 has 48 divisors (see below), whose sum is σ = 919415080584. Its totient is φ = 134571148800.

The previous prime is 414024120179. The next prime is 414024120239. The reversal of 414024120234 is 432021420414.

414024120234 is a `hidden beast` number, since 4 + 1 + 402 + 4 + 1 + 20 + 234 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 284672401209 + 129351719025 = 533547^2 + 359655^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414024120198 and 414024120207.

It is not an unprimeable number, because it can be changed into a prime (414024120239) 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, 1265164 + ... + 1558424.

Almost surely, 2^414024120234 is an apocalyptic number.

414024120234 is an abundant number, since it is smaller than the sum of its proper divisors (505390960350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414024120234 is a wasteful number, since it uses less digits than its factorization.

414024120234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295223 (or 295220 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414024120234 its reverse (432021420414), we get a palindrome (846045540648).

The spelling of 414024120234 in words is "four hundred fourteen billion, twenty-four million, one hundred twenty thousand, two hundred thirty-four".