4214124342324 has 144 divisors (see below), whose sum is σ = 11567295230400. Its totient is φ = 1293548832576.

The previous prime is 4214124342319. The next prime is 4214124342433. The reversal of 4214124342324 is 4232434214124.

4214124342324 is a `hidden beast` number, since 4 + 2 + 1 + 412 + 4 + 3 + 4 + 232 + 4 = 666.

4214124342324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33075967 + ... + 33203129.

It is an arithmetic number, because the mean of its divisors is an integer number (80328439100).

Almost surely, 2^{4214124342324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214124342324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783647615200).

4214124342324 is an abundant number, since it is smaller than the sum of its proper divisors (7353170888076).

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

4214124342324 is a wasteful number, since it uses less digits than its factorization.

4214124342324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127631 (or 127600 counting only the distinct ones).

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

Adding to 4214124342324 its reverse (4232434214124), we get a palindrome (8446558556448).

The spelling of 4214124342324 in words is "four trillion, two hundred fourteen billion, one hundred twenty-four million, three hundred forty-two thousand, three hundred twenty-four".