4421428824384 has 1344 divisors, whose sum is σ = 15716514078720. Its totient is φ = 1177473024000.

The previous prime is 4421428824359. The next prime is 4421428824413. The reversal of 4421428824384 is 4834288241244.

4421428824384 is a `hidden beast` number, since 4 + 4 + 21 + 428 + 82 + 43 + 84 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4421428824384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34814400129 + ... + 34814400255.

It is an arithmetic number, because the mean of its divisors is an integer number (11693834880).

Almost surely, 2^{4421428824384} is an apocalyptic number.

4421428824384 is a gapful number since it is divisible by the number (44) 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 4421428824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858257039360).

4421428824384 is an abundant number, since it is smaller than the sum of its proper divisors (11295085254336).

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

4421428824384 is a wasteful number, since it uses less digits than its factorization.

4421428824384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 258 counting only the distinct ones).

The product of its digits is 12582912, while the sum is 54.

The spelling of 4421428824384 in words is "four trillion, four hundred twenty-one billion, four hundred twenty-eight million, eight hundred twenty-four thousand, three hundred eighty-four".