4229221248 has 320 divisors, whose sum is σ = 15146102400. Its totient is φ = 1144378368.

The previous prime is 4229221193. The next prime is 4229221279. The reversal of 4229221248 is 8421229224.

4229221248 is a `hidden beast` number, since 422 + 9 + 221 + 2 + 4 + 8 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1377411 + ... + 1380477.

It is an arithmetic number, because the mean of its divisors is an integer number (47331570).

Almost surely, 2^4229221248 is an apocalyptic number.

4229221248 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 4229221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573051200).

4229221248 is an abundant number, since it is smaller than the sum of its proper divisors (10916881152).

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

4229221248 is a wasteful number, since it uses less digits than its factorization.

4229221248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3098 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4229221248 is about 65032.4630319351. The cubic root of 4229221248 is about 1617.1617793464.

The spelling of 4229221248 in words is "four billion, two hundred twenty-nine million, two hundred twenty-one thousand, two hundred forty-eight".