4002222420216 has 192 divisors, whose sum is σ = 11927897261280. Its totient is φ = 1252870778880.

The previous prime is 4002222420197. The next prime is 4002222420241. The reversal of 4002222420216 is 6120242222004.

4002222420216 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 2 + 22 + 420 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4002222420216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15103780 + ... + 15366476.

Almost surely, 2^{4002222420216} 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 4002222420216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963948630640).

4002222420216 is an abundant number, since it is smaller than the sum of its proper divisors (7925674841064).

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

4002222420216 is a wasteful number, since it uses less digits than its factorization.

4002222420216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263196 (or 263180 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 4002222420216 in words is "four trillion, two billion, two hundred twenty-two million, four hundred twenty thousand, two hundred sixteen".