4021444432000 has 64 divisors (see below), whose sum is σ = 9998316258840. Its totient is φ = 1608577766400.

The previous prime is 4021444431997. The next prime is 4021444432007. The reversal of 4021444432000 is 2344441204.

It can be written as a sum of positive squares in 4 ways, for example, as 1852233897024 + 2169210534976 = 1360968^2 + 1472824^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4021444432000.

It is not an unprimeable number, because it can be changed into a prime (4021444432007) 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 7 ways as a sum of consecutive naturals, for example, 125654139 + ... + 125686138.

Almost surely, 2^{4021444432000} is an apocalyptic number.

4021444432000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4021444432000 is an abundant number, since it is smaller than the sum of its proper divisors (5976871826840).

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

4021444432000 is an equidigital number, since it uses as much as digits as its factorization.

4021444432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251340306 (or 251340284 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4021444432000 its reverse (2344441204), we get a palindrome (4023788873204).

The spelling of 4021444432000 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred thirty-two thousand".