4216085952 has 224 divisors, whose sum is σ = 12918350592. Its totient is φ = 1201913856.

The previous prime is 4216085933. The next prime is 4216085981. The reversal of 4216085952 is 2595806124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2842203 + ... + 2843685.

It is an arithmetic number, because the mean of its divisors is an integer number (57671208).

Almost surely, 2^4216085952 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 4216085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459175296).

4216085952 is an abundant number, since it is smaller than the sum of its proper divisors (8702264640).

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

4216085952 is a wasteful number, since it uses less digits than its factorization.

4216085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4216085952 is about 64931.3941941801. The cubic root of 4216085952 is about 1615.4858263549.

The spelling of 4216085952 in words is "four billion, two hundred sixteen million, eighty-five thousand, nine hundred fifty-two".