4189858272 has 96 divisors (see below), whose sum is σ = 12254124960. Its totient is φ = 1392768000.

The previous prime is 4189858249. The next prime is 4189858291. The reversal of 4189858272 is 2728589814.

4189858272 is a `hidden beast` number, since 418 + 9 + 85 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 315772 + ... + 328772.

It is an arithmetic number, because the mean of its divisors is an integer number (127647135).

Almost surely, 2^4189858272 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 4189858272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127062480).

4189858272 is an abundant number, since it is smaller than the sum of its proper divisors (8064266688).

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

4189858272 is a wasteful number, since it uses less digits than its factorization.

4189858272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13393 (or 13379 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 4189858272 is about 64729.1145621505. The cubic root of 4189858272 is about 1612.1289521596.

The spelling of 4189858272 in words is "four billion, one hundred eighty-nine million, eight hundred fifty-eight thousand, two hundred seventy-two".