4216437252 has 144 divisors (see below), whose sum is σ = 11263674240. Its totient is φ = 1328108544.

The previous prime is 4216437241. The next prime is 4216437271. The reversal of 4216437252 is 2527346124.

4216437252 is a `hidden beast` number, since 4 + 2 + 1 + 643 + 7 + 2 + 5 + 2 = 666.

4216437252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12150943 + ... + 12151289.

It is an arithmetic number, because the mean of its divisors is an integer number (78219960).

Almost surely, 2^4216437252 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 4216437252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631837120).

4216437252 is an abundant number, since it is smaller than the sum of its proper divisors (7047236988).

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

4216437252 is a wasteful number, since it uses less digits than its factorization.

4216437252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 597 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 4216437252 is about 64934.0993007526. The cubic root of 4216437252 is about 1615.5306945427.

The spelling of 4216437252 in words is "four billion, two hundred sixteen million, four hundred thirty-seven thousand, two hundred fifty-two".