4021444441000 has 256 divisors, whose sum is σ = 10919080972800. Its totient is φ = 1357804800000.

The previous prime is 4021444440997. The next prime is 4021444441009. The reversal of 4021444441000 is 1444441204.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4021444441000.

It is not an unprimeable number, because it can be changed into a prime (4021444441009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156360142 + ... + 156385858.

It is an arithmetic number, because the mean of its divisors is an integer number (42652660050).

Almost surely, 2^{4021444441000} is an apocalyptic number.

4021444441000 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 4021444441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459540486400).

4021444441000 is an abundant number, since it is smaller than the sum of its proper divisors (6897636531800).

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

4021444441000 is a wasteful number, since it uses less digits than its factorization.

4021444441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26085 (or 26071 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4021444441000 its reverse (1444441204), we get a palindrome (4022888882204).

The spelling of 4021444441000 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred forty-one thousand".