4221417836768 has 96 divisors (see below), whose sum is σ = 9392713924608. Its totient is φ = 1850223628800.

The previous prime is 4221417836759. The next prime is 4221417836789. The reversal of 4221417836768 is 8676387141224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2324321 + ... + 3720927.

It is an arithmetic number, because the mean of its divisors is an integer number (97840770048).

Almost surely, 2^{4221417836768} 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 4221417836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696356962304).

4221417836768 is an abundant number, since it is smaller than the sum of its proper divisors (5171296087840).

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

4221417836768 is a wasteful number, since it uses less digits than its factorization.

4221417836768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396936 (or 1396928 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 59.

The spelling of 4221417836768 in words is "four trillion, two hundred twenty-one billion, four hundred seventeen million, eight hundred thirty-six thousand, seven hundred sixty-eight".