4224104201408 has 168 divisors, whose sum is σ = 10513629175392. Its totient is φ = 1669030465536.

The previous prime is 4224104201357. The next prime is 4224104201417. The reversal of 4224104201408 is 8041024014224.

4224104201408 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 (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33489116 + ... + 33615012.

It is an arithmetic number, because the mean of its divisors is an integer number (62581126044).

Almost surely, 2^{4224104201408} 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 4224104201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256814587696).

4224104201408 is an abundant number, since it is smaller than the sum of its proper divisors (6289524973984).

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

4224104201408 is a wasteful number, since it uses less digits than its factorization.

4224104201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126759 (or 126742 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 4224104201408 in words is "four trillion, two hundred twenty-four billion, one hundred four million, two hundred one thousand, four hundred eight".