4224038140608 has 448 divisors, whose sum is σ = 13281596504064. Its totient is φ = 1167943680000.

The previous prime is 4224038140579. The next prime is 4224038140639. The reversal of 4224038140608 is 8060418304224.

It is a happy number.

It is a super-2 number, since 2×4224038140608² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4224038140608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3058680078 + ... + 3058681458.

It is an arithmetic number, because the mean of its divisors is an integer number (29646420768).

Almost surely, 2^{4224038140608} is an apocalyptic number.

4224038140608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224038140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640798252032).

4224038140608 is an abundant number, since it is smaller than the sum of its proper divisors (9057558363456).

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

4224038140608 is a wasteful number, since it uses less digits than its factorization.

4224038140608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 4224038140608 in words is "four trillion, two hundred twenty-four billion, thirty-eight million, one hundred forty thousand, six hundred eight".