4134204233424 has 320 divisors, whose sum is σ = 12862719590400. Its totient is φ = 1266901129728.

The previous prime is 4134204233363. The next prime is 4134204233441. The reversal of 4134204233424 is 4243324024314.

4134204233424 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 204 + 23 + 3 + 424 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 116297797 + ... + 116333339.

It is an arithmetic number, because the mean of its divisors is an integer number (40195998720).

Almost surely, 2^{4134204233424} 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 4134204233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431359795200).

4134204233424 is an abundant number, since it is smaller than the sum of its proper divisors (8728515356976).

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

4134204233424 is a wasteful number, since it uses less digits than its factorization.

4134204233424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35999 (or 35987 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4134204233424 its reverse (4243324024314), we get a palindrome (8377528257738).

The spelling of 4134204233424 in words is "four trillion, one hundred thirty-four billion, two hundred four million, two hundred thirty-three thousand, four hundred twenty-four".