2442040000444 has 72 divisors (see below), whose sum is σ = 4958882570880. Its totient is φ = 1048564265760.

The previous prime is 2442040000427. The next prime is 2442040000459. The reversal of 2442040000444 is 4440000402442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2808369 + ... + 3573655.

It is an arithmetic number, because the mean of its divisors is an integer number (68873369040).

Almost surely, 2^{2442040000444} is an apocalyptic number.

It is an amenable number.

2442040000444 is an abundant number, since it is smaller than the sum of its proper divisors (2516842570436).

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

2442040000444 is a wasteful number, since it uses less digits than its factorization.

2442040000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765679 (or 765666 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2442040000444 its reverse (4440000402442), we get a palindrome (6882040402886).

The spelling of 2442040000444 in words is "two trillion, four hundred forty-two billion, forty million, four hundred forty-four", and thus it is an aban number.