4081223817216 has 2304 divisors, whose sum is σ = 16484622336000. Its totient is φ = 961375371264.

The previous prime is 4081223817071. The next prime is 4081223817257. The reversal of 4081223817216 is 6127183221804.

4081223817216 is a `hidden beast` number, since 40 + 8 + 12 + 2 + 381 + 7 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×4081223817216² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32135620545 + ... + 32135620671.

It is an arithmetic number, because the mean of its divisors is an integer number (7154784000).

Almost surely, 2^{4081223817216} is an apocalyptic number.

4081223817216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081223817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8242311168000).

4081223817216 is an abundant number, since it is smaller than the sum of its proper divisors (12403398518784).

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

4081223817216 is a wasteful number, since it uses less digits than its factorization.

4081223817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 4081223817216 in words is "four trillion, eighty-one billion, two hundred twenty-three million, eight hundred seventeen thousand, two hundred sixteen".