33443442355340 has 192 divisors, whose sum is σ = 78565076029440. Its totient is φ = 11898144276480.

The previous prime is 33443442355291. The next prime is 33443442355373. The reversal of 33443442355340 is 4355324434433.

It is a super-2 number, since 2×33443442355340² (a number of 28 digits) contains 22 as substring.

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, 3181145924 + ... + 3181156436.

It is an arithmetic number, because the mean of its divisors is an integer number (409193104320).

Almost surely, 2^{33443442355340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33443442355340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39282538014720).

33443442355340 is an abundant number, since it is smaller than the sum of its proper divisors (45121633674100).

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

33443442355340 is a wasteful number, since it uses less digits than its factorization.

33443442355340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 47.

Adding to 33443442355340 its reverse (4355324434433), we get a palindrome (37798766789773).

The spelling of 33443442355340 in words is "thirty-three trillion, four hundred forty-three billion, four hundred forty-two million, three hundred fifty-five thousand, three hundred forty".