4229641296 has 120 divisors (see below), whose sum is σ = 12130545024. Its totient is φ = 1375142400.

The previous prime is 4229641291. The next prime is 4229641301. The reversal of 4229641296 is 6921469224.

4229641296 is a `hidden beast` number, since 4 + 229 + 6 + 412 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4229641291) and next prime (4229641301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229641291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347596 + ... + 2349396.

Almost surely, 2^4229641296 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 4229641296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065272512).

4229641296 is an abundant number, since it is smaller than the sum of its proper divisors (7900903728).

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

4229641296 is a wasteful number, since it uses less digits than its factorization.

4229641296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2200 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 4229641296 is about 65035.6924772851. The cubic root of 4229641296 is about 1617.2153166325.

The spelling of 4229641296 in words is "four billion, two hundred twenty-nine million, six hundred forty-one thousand, two hundred ninety-six".