4419442944 has 504 divisors, whose sum is σ = 16085462400. Its totient is φ = 1182449664.

The previous prime is 4419442943. The next prime is 4419442957. The reversal of 4419442944 is 4492449144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 4419442944.

It is not an unprimeable number, because it can be changed into a prime (4419442943) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 22208157 + ... + 22208355.

It is an arithmetic number, because the mean of its divisors is an integer number (31915600).

Almost surely, 2^4419442944 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 4419442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042731200).

4419442944 is an abundant number, since it is smaller than the sum of its proper divisors (11666019456).

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

4419442944 is an equidigital number, since it uses as much as digits as its factorization.

4419442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4419442944 is about 66478.8909654787. The cubic root of 4419442944 is about 1641.0526337606.

The spelling of 4419442944 in words is "four billion, four hundred nineteen million, four hundred forty-two thousand, nine hundred forty-four".