4182667216 has 160 divisors (see below), whose sum is σ = 10926800640. Its totient is φ = 1503387648.

The previous prime is 4182667211. The next prime is 4182667271. The reversal of 4182667216 is 6127662814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4182667211) 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 31 ways as a sum of consecutive naturals, for example, 714895 + ... + 720721.

It is an arithmetic number, because the mean of its divisors is an integer number (68292504).

Almost surely, 2^4182667216 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 4182667216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463400320).

4182667216 is an abundant number, since it is smaller than the sum of its proper divisors (6744133424).

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

4182667216 is a wasteful number, since it uses less digits than its factorization.

4182667216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5895 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 4182667216 is about 64673.5434006828. The cubic root of 4182667216 is about 1611.2061247465.

The spelling of 4182667216 in words is "four billion, one hundred eighty-two million, six hundred sixty-seven thousand, two hundred sixteen".