4221633248 has 96 divisors (see below), whose sum is σ = 9778019328. Its totient is φ = 1756684800.

The previous prime is 4221633193. The next prime is 4221633257. The reversal of 4221633248 is 8423361224.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1377638 + ... + 1380698.

It is an arithmetic number, because the mean of its divisors is an integer number (101854368).

Almost surely, 2^4221633248 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 4221633248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889009664).

4221633248 is an abundant number, since it is smaller than the sum of its proper divisors (5556386080).

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

4221633248 is a wasteful number, since it uses less digits than its factorization.

4221633248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3248 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 4221633248 is about 64974.0967463188. The cubic root of 4221633248 is about 1616.1940385569.

The spelling of 4221633248 in words is "four billion, two hundred twenty-one million, six hundred thirty-three thousand, two hundred forty-eight".