4234124214324 has 54 divisors (see below), whose sum is σ = 10809944793830. Its totient is φ = 1397400609600.

The previous prime is 4234124214323. The next prime is 4234124214367.

4234124214324 is a `hidden beast` number, since 4 + 2 + 3 + 412 + 4 + 214 + 3 + 24 = 666.

4234124214324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 1653821720100 + 2580302494224 = 1286010^2 + 1606332^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234124214323) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5397619 + ... + 6132090.

Almost surely, 2^{4234124214324} is an apocalyptic number.

It is an amenable number.

4234124214324 is an abundant number, since it is smaller than the sum of its proper divisors (6575820579506).

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

4234124214324 is a wasteful number, since it uses less digits than its factorization.

4234124214324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11529921 (or 11529815 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 4234124214324 in words is "four trillion, two hundred thirty-four billion, one hundred twenty-four million, two hundred fourteen thousand, three hundred twenty-four".