4218643134 has 160 divisors (see below), whose sum is σ = 10064102400. Its totient is φ = 1319198400.

The previous prime is 4218643133. The next prime is 4218643151. The reversal of 4218643134 is 4313468124.

4218643134 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 643 + 1 + 3 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218643133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27937959 + ... + 27938109.

It is an arithmetic number, because the mean of its divisors is an integer number (62900640).

Almost surely, 2^4218643134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218643134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032051200).

4218643134 is an abundant number, since it is smaller than the sum of its proper divisors (5845459266).

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

4218643134 is a wasteful number, since it uses less digits than its factorization.

4218643134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 331 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4218643134 is about 64951.0826237716. The cubic root of 4218643134 is about 1615.8123738047.

The spelling of 4218643134 in words is "four billion, two hundred eighteen million, six hundred forty-three thousand, one hundred thirty-four".