4214234324124 has 54 divisors (see below), whose sum is σ = 11709108833240. Its totient is φ = 1277040702960.

The previous prime is 4214234324099. The next prime is 4214234324137.

4214234324124 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 234 + 3 + 2 + 412 + 4 = 666.

4214234324124 is nontrivially palindromic in base 10.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 483723184 + ... + 483731895.

Almost surely, 2^{4214234324124} is an apocalyptic number.

4214234324124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4214234324124 is an abundant number, since it is smaller than the sum of its proper divisors (7494874509116).

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

4214234324124 is a wasteful number, since it uses less digits than its factorization.

4214234324124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967455111 (or 967455095 counting only the distinct ones).

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

The spelling of 4214234324124 in words is "four trillion, two hundred fourteen billion, two hundred thirty-four million, three hundred twenty-four thousand, one hundred twenty-four".