33144213042 has 128 divisors (see below), whose sum is σ = 77598259200. Its totient is φ = 10471809600.

The previous prime is 33144212963. The next prime is 33144213077. The reversal of 33144213042 is 24031244133.

33144213042 is a `hidden beast` number, since 3 + 314 + 42 + 1 + 304 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33144212997 and 33144213015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34133617 + ... + 34134587.

It is an arithmetic number, because the mean of its divisors is an integer number (606236400).

Almost surely, 2^33144213042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33144213042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38799129600).

33144213042 is an abundant number, since it is smaller than the sum of its proper divisors (44454046158).

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

33144213042 is a wasteful number, since it uses less digits than its factorization.

33144213042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33144213042 its reverse (24031244133), we get a palindrome (57175457175).

The spelling of 33144213042 in words is "thirty-three billion, one hundred forty-four million, two hundred thirteen thousand, forty-two".