4218058152 has 512 divisors, whose sum is σ = 15416524800. Its totient is φ = 1049760000.

The previous prime is 4218058087. The next prime is 4218058153. The reversal of 4218058152 is 2518508124.

4218058152 is a `hidden beast` number, since 4 + 21 + 8 + 0 + 581 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4218058153) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 41762902 + ... + 41763002.

It is an arithmetic number, because the mean of its divisors is an integer number (30110400).

Almost surely, 2^4218058152 is an apocalyptic number.

4218058152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218058152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7708262400).

4218058152 is an abundant number, since it is smaller than the sum of its proper divisors (11198466648).

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

4218058152 is a wasteful number, since it uses less digits than its factorization.

4218058152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 4218058152 is about 64946.5792170766. The cubic root of 4218058152 is about 1615.7376843198.

The spelling of 4218058152 in words is "four billion, two hundred eighteen million, fifty-eight thousand, one hundred fifty-two".