10444004434242 has 64 divisors (see below), whose sum is σ = 23231672363520. Its totient is φ = 3477919928400.

The previous prime is 10444004434207. The next prime is 10444004434247. The reversal of 10444004434242 is 24243440044401.

It is a happy number.

10444004434242 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 400 + 4 + 4 + 3 + 4 + 242 = 666.

It is a super-2 number, since 2×10444004434242² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10444004434197 and 10444004434206.

It is not an unprimeable number, because it can be changed into a prime (10444004434247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419038393 + ... + 419063315.

It is an arithmetic number, because the mean of its divisors is an integer number (362994880680).

Almost surely, 2^{10444004434242} is an apocalyptic number.

10444004434242 is an abundant number, since it is smaller than the sum of its proper divisors (12787667929278).

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

10444004434242 is a wasteful number, since it uses less digits than its factorization.

10444004434242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32236 (or 32230 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 10444004434242 its reverse (24243440044401), we get a palindrome (34687444478643).

The spelling of 10444004434242 in words is "ten trillion, four hundred forty-four billion, four million, four hundred thirty-four thousand, two hundred forty-two".