4217734888896 has 448 divisors, whose sum is σ = 12790211696640. Its totient is φ = 1218281472000.

The previous prime is 4217734888891. The next prime is 4217734888897. The reversal of 4217734888896 is 6988884377124.

4217734888896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217734888891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 689056716 + ... + 689062836.

It is an arithmetic number, because the mean of its divisors is an integer number (28549579680).

Almost surely, 2^{4217734888896} 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 4217734888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395105848320).

4217734888896 is an abundant number, since it is smaller than the sum of its proper divisors (8572476807744).

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

4217734888896 is a wasteful number, since it uses less digits than its factorization.

4217734888896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6474 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 75.

The spelling of 4217734888896 in words is "four trillion, two hundred seventeen billion, seven hundred thirty-four million, eight hundred eighty-eight thousand, eight hundred ninety-six".