33144024144340 has 24 divisors (see below), whose sum is σ = 70218401599080. Its totient is φ = 13140285677568.

The previous prime is 33144024144289. The next prime is 33144024144347. The reversal of 33144024144340 is 4344142044133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2892462124176 + 30251562020164 = 1700724^2 + 5500142^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33144024144340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144024144347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7332746445 + ... + 7332750964.

It is an arithmetic number, because the mean of its divisors is an integer number (2925766733295).

Almost surely, 2^{33144024144340} is an apocalyptic number.

It is an amenable number.

33144024144340 is an abundant number, since it is smaller than the sum of its proper divisors (37074377454740).

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

33144024144340 is a wasteful number, since it uses less digits than its factorization.

33144024144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14665497531 (or 14665497529 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 33144024144340 its reverse (4344142044133), we get a palindrome (37488166188473).

The spelling of 33144024144340 in words is "thirty-three trillion, one hundred forty-four billion, twenty-four million, one hundred forty-four thousand, three hundred forty".