33412442332144 has 80 divisors (see below), whose sum is σ = 66316249829632. Its totient is φ = 16299450768384.

The previous prime is 33412442332141. The next prime is 33412442332153. The reversal of 33412442332144 is 44123324421433.

It is a happy number.

It is a super-2 number, since 2×33412442332144² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33412442332097 and 33412442332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33412442332141) 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 15 ways as a sum of consecutive naturals, for example, 3744525667 + ... + 3744534589.

Almost surely, 2^{33412442332144} is an apocalyptic number.

It is an amenable number.

33412442332144 is a deficient number, since it is larger than the sum of its proper divisors (32903807497488).

33412442332144 is a wasteful number, since it uses less digits than its factorization.

33412442332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14454 (or 14448 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

Adding to 33412442332144 its reverse (44123324421433), we get a palindrome (77535766753577).

The spelling of 33412442332144 in words is "thirty-three trillion, four hundred twelve billion, four hundred forty-two million, three hundred thirty-two thousand, one hundred forty-four".