4228433664 has 288 divisors, whose sum is σ = 14669706240. Its totient is φ = 1049296896.

The previous prime is 4228433663. The next prime is 4228433669. The reversal of 4228433664 is 4663348224.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (4228433663) 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, 1186317 + ... + 1189875.

It is an arithmetic number, because the mean of its divisors is an integer number (50936480).

Almost surely, 2^4228433664 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 4228433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334853120).

4228433664 is an abundant number, since it is smaller than the sum of its proper divisors (10441272576).

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

4228433664 is a wasteful number, since it uses less digits than its factorization.

4228433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3601 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The square root of 4228433664 is about 65026.4074357487. The cubic root of 4228433664 is about 1617.0613881445.

The spelling of 4228433664 in words is "four billion, two hundred twenty-eight million, four hundred thirty-three thousand, six hundred sixty-four".