4221223776 has 432 divisors, whose sum is σ = 15488299008. Its totient is φ = 1078156800.

The previous prime is 4221223739. The next prime is 4221223781. The reversal of 4221223776 is 6773221224.

It is a happy number.

4221223776 is a `hidden beast` number, since 422 + 1 + 223 + 7 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4221223776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11021281 + ... + 11021663.

It is an arithmetic number, because the mean of its divisors is an integer number (35852544).

Almost surely, 2^4221223776 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 4221223776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744149504).

4221223776 is an abundant number, since it is smaller than the sum of its proper divisors (11267075232).

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

4221223776 is a wasteful number, since it uses less digits than its factorization.

4221223776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 4221223776 is about 64970.9456295658. The cubic root of 4221223776 is about 1616.1417832989.

The spelling of 4221223776 in words is "four billion, two hundred twenty-one million, two hundred twenty-three thousand, seven hundred seventy-six".