4220384448 has 224 divisors, whose sum is σ = 13389742080. Its totient is φ = 1147069440.

The previous prime is 4220384447. The next prime is 4220384449. The reversal of 4220384448 is 8444830224.

It is an interprime number because it is at equal distance from previous prime (4220384447) and next prime (4220384449).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (4220384447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9613413 + ... + 9613851.

Almost surely, 2^4220384448 is an apocalyptic number.

4220384448 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 4220384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694871040).

4220384448 is an abundant number, since it is smaller than the sum of its proper divisors (9169357632).

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

4220384448 is a wasteful number, since it uses less digits than its factorization.

4220384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The square root of 4220384448 is about 64964.4860519961. The cubic root of 4220384448 is about 1616.0346608910.

The spelling of 4220384448 in words is "four billion, two hundred twenty million, three hundred eighty-four thousand, four hundred forty-eight".