4226776224 has 96 divisors (see below), whose sum is σ = 12116744640. Its totient is φ = 1279488000.

The previous prime is 4226776159. The next prime is 4226776231.

4226776224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 1507624 + ... + 1510424.

It is an arithmetic number, because the mean of its divisors is an integer number (126216090).

Almost surely, 2^4226776224 is an apocalyptic number.

4226776224 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 4226776224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058372320).

4226776224 is an abundant number, since it is smaller than the sum of its proper divisors (7889968416).

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

4226776224 is a wasteful number, since it uses less digits than its factorization.

4226776224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4246 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 4226776224 is about 65013.6618258040. The cubic root of 4226776224 is about 1616.8500780232.

The spelling of 4226776224 in words is "four billion, two hundred twenty-six million, seven hundred seventy-six thousand, two hundred twenty-four".