4047441216 has 224 divisors, whose sum is σ = 13343705088. Its totient is φ = 1054218240.

The previous prime is 4047441193. The next prime is 4047441217. The reversal of 4047441216 is 6121447404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4047441217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448781 + ... + 1451571.

It is an arithmetic number, because the mean of its divisors is an integer number (59570112).

Almost surely, 2^4047441216 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 4047441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671852544).

4047441216 is an abundant number, since it is smaller than the sum of its proper divisors (9296263872).

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

4047441216 is a wasteful number, since it uses less digits than its factorization.

4047441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4047441216 is about 63619.5034246574. The cubic root of 4047441216 is about 1593.6520899974.

The spelling of 4047441216 in words is "four billion, forty-seven million, four hundred forty-one thousand, two hundred sixteen".