4032216122304 has 224 divisors, whose sum is σ = 11252873258496. Its totient is φ = 1271747276800.

The previous prime is 4032216122293. The next prime is 4032216122393.

4032216122304 is nontrivially palindromic in base 10.

4032216122304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582939454 + ... + 582946370.

Almost surely, 2^{4032216122304} 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 4032216122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626436629248).

4032216122304 is an abundant number, since it is smaller than the sum of its proper divisors (7220657136192).

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

4032216122304 is a wasteful number, since it uses less digits than its factorization.

4032216122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 4032216122304 in words is "four trillion, thirty-two billion, two hundred sixteen million, one hundred twenty-two thousand, three hundred four".