4224817152 has 288 divisors, whose sum is σ = 13146915600. Its totient is φ = 1302331392.

The previous prime is 4224817151. The next prime is 4224817153. The reversal of 4224817152 is 2517184224.

4224817152 is a `hidden beast` number, since 4 + 22 + 481 + 7 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (4224817151) and next prime (4224817153).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4224817152² = 35698159935666782208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224817151) 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, 30394299 + ... + 30394437.

Almost surely, 2^4224817152 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 4224817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573457800).

4224817152 is an abundant number, since it is smaller than the sum of its proper divisors (8922098448).

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

4224817152 is a wasteful number, since it uses less digits than its factorization.

4224817152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 4224817152 is about 64998.5934617050. The cubic root of 4224817152 is about 1616.6002410279.

The spelling of 4224817152 in words is "four billion, two hundred twenty-four million, eight hundred seventeen thousand, one hundred fifty-two".