4142219321216 has 64 divisors (see below), whose sum is σ = 8290777023360. Its totient is φ = 2061402048000.

The previous prime is 4142219321213. The next prime is 4142219321257. The reversal of 4142219321216 is 6121239122414.

4142219321216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4142219321216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142219321213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113619791 + ... + 113656241.

It is an arithmetic number, because the mean of its divisors is an integer number (129543390990).

Almost surely, 2^{4142219321216} 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 4142219321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145388511680).

4142219321216 is an abundant number, since it is smaller than the sum of its proper divisors (4148557702144).

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

4142219321216 is a wasteful number, since it uses less digits than its factorization.

4142219321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40603 (or 40591 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The spelling of 4142219321216 in words is "four trillion, one hundred forty-two billion, two hundred nineteen million, three hundred twenty-one thousand, two hundred sixteen".