4424424646824 has 1920 divisors, whose sum is σ = 17141870592000. Its totient is φ = 1039346380800.

The previous prime is 4424424646787. The next prime is 4424424646841. The reversal of 4424424646824 is 4286464244244.

4424424646824 is a `hidden beast` number, since 4 + 42 + 442 + 46 + 46 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18512236897 + ... + 18512237135.

It is an arithmetic number, because the mean of its divisors is an integer number (8928057600).

Almost surely, 2^{4424424646824} 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 4424424646824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570935296000).

4424424646824 is an abundant number, since it is smaller than the sum of its proper divisors (12717445945176).

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

4424424646824 is a wasteful number, since it uses less digits than its factorization.

4424424646824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 355 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 54.

The spelling of 4424424646824 in words is "four trillion, four hundred twenty-four billion, four hundred twenty-four million, six hundred forty-six thousand, eight hundred twenty-four".