4444424024100 has 144 divisors (see below), whose sum is σ = 14332235803200. Its totient is φ = 1056754667520.

The previous prime is 4444424024071. The next prime is 4444424024107. The reversal of 4444424024100 is 14204244444.

It is not an unprimeable number, because it can be changed into a prime (4444424024107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22836145 + ... + 23029944.

It is an arithmetic number, because the mean of its divisors is an integer number (99529415300).

Almost surely, 2^{4444424024100} is an apocalyptic number.

It is an amenable number.

4444424024100 is an abundant number, since it is smaller than the sum of its proper divisors (9887811779100).

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

4444424024100 is a wasteful number, since it uses less digits than its factorization.

4444424024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45866142 (or 45866135 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 4444424024100 its reverse (14204244444), we get a palindrome (4458628268544).

The spelling of 4444424024100 in words is "four trillion, four hundred forty-four billion, four hundred twenty-four million, twenty-four thousand, one hundred".