4226994996224 has 704 divisors, whose sum is σ = 11563555272192. Its totient is φ = 1503738593280.

The previous prime is 4226994996199. The next prime is 4226994996247.

4226994996224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21456827294 + ... + 21456827490.

It is an arithmetic number, because the mean of its divisors is an integer number (16425504648).

Almost surely, 2^{4226994996224} is an apocalyptic number.

4226994996224 is a gapful number since it is divisible by the number (44) 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 4226994996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781777636096).

4226994996224 is an abundant number, since it is smaller than the sum of its proper divisors (7336560275968).

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

4226994996224 is a wasteful number, since it uses less digits than its factorization.

4226994996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 403 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 68.

The spelling of 4226994996224 in words is "four trillion, two hundred twenty-six billion, nine hundred ninety-four million, nine hundred ninety-six thousand, two hundred twenty-four".