4202420022216 has 192 divisors, whose sum is σ = 12644401104000. Its totient is φ = 1292644604160.

The previous prime is 4202420022193. The next prime is 4202420022217. The reversal of 4202420022216 is 6122200242024.

4202420022216 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 420 + 0 + 22 + 216 = 666.

4202420022216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 4202420022216.

It is not an unprimeable number, because it can be changed into a prime (4202420022217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128149150 + ... + 128181938.

It is an arithmetic number, because the mean of its divisors is an integer number (65856255750).

Almost surely, 2^{4202420022216} 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 4202420022216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322200552000).

4202420022216 is an abundant number, since it is smaller than the sum of its proper divisors (8441981081784).

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

4202420022216 is a wasteful number, since it uses less digits than its factorization.

4202420022216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36341 (or 36318 counting only the distinct ones).

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

The spelling of 4202420022216 in words is "four trillion, two hundred two billion, four hundred twenty million, twenty-two thousand, two hundred sixteen".