4218329952 has 144 divisors (see below), whose sum is σ = 12800419632. Its totient is φ = 1313095680.

The previous prime is 4218329923. The next prime is 4218329953. The reversal of 4218329952 is 2599238124.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4218329898 and 4218329907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218329953) 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 23 ways as a sum of consecutive naturals, for example, 638088 + ... + 644664.

It is an arithmetic number, because the mean of its divisors is an integer number (88891803).

Almost surely, 2^4218329952 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 4218329952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400209816).

4218329952 is an abundant number, since it is smaller than the sum of its proper divisors (8582089680).

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

4218329952 is a wasteful number, since it uses less digits than its factorization.

4218329952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6730 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 4218329952 is about 64948.6716723291. The cubic root of 4218329952 is about 1615.7723881302.

The spelling of 4218329952 in words is "four billion, two hundred eighteen million, three hundred twenty-nine thousand, nine hundred fifty-two".