4428464640 has 320 divisors, whose sum is σ = 15177849984. Its totient is φ = 1097596928.

The previous prime is 4428464603. The next prime is 4428464647. The reversal of 4428464640 is 464648244.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×4428464640³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4428464592 and 4428464601.

It is not an unprimeable number, because it can be changed into a prime (4428464647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13969762 + ... + 13970078.

Almost surely, 2^4428464640 is an apocalyptic number.

4428464640 is a gapful number since it is divisible by the number (40) 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 4428464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588924992).

4428464640 is an abundant number, since it is smaller than the sum of its proper divisors (10749385344).

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

4428464640 is a wasteful number, since it uses less digits than its factorization.

4428464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The square root of 4428464640 is about 66546.7102117002. The cubic root of 4428464640 is about 1642.1685372345.

The spelling of 4428464640 in words is "four billion, four hundred twenty-eight million, four hundred sixty-four thousand, six hundred forty".