4224144404000 has 96 divisors (see below), whose sum is σ = 10381882492800. Its totient is φ = 1689143366400.

The previous prime is 4224144403987. The next prime is 4224144404009. The reversal of 4224144404000 is 4044414224.

It is not an unprimeable number, because it can be changed into a prime (4224144404009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13116911 + ... + 13435089.

It is an arithmetic number, because the mean of its divisors is an integer number (108144609300).

Almost surely, 2^{4224144404000} is an apocalyptic number.

4224144404000 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 4224144404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190941246400).

4224144404000 is an abundant number, since it is smaller than the sum of its proper divisors (6157738088800).

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

4224144404000 is a wasteful number, since it uses less digits than its factorization.

4224144404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321523 (or 321505 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 4224144404000 its reverse (4044414224), we get a palindrome (4228188818224).

The spelling of 4224144404000 in words is "four trillion, two hundred twenty-four billion, one hundred forty-four million, four hundred four thousand".