33442042354400 has 144 divisors (see below), whose sum is σ = 82174342380480. Its totient is φ = 13289356953600.

The previous prime is 33442042354393. The next prime is 33442042354429. The reversal of 33442042354400 is 445324024433.

It is a super-2 number, since 2×33442042354400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874031270 + ... + 874069530.

It is an arithmetic number, because the mean of its divisors is an integer number (570655155420).

Almost surely, 2^{33442042354400} 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 33442042354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41087171190240).

33442042354400 is an abundant number, since it is smaller than the sum of its proper divisors (48732300026080).

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

33442042354400 is a wasteful number, since it uses less digits than its factorization.

33442042354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45397 (or 45384 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 38.

Adding to 33442042354400 its reverse (445324024433), we get a palindrome (33887366378833).

The spelling of 33442042354400 in words is "thirty-three trillion, four hundred forty-two billion, forty-two million, three hundred fifty-four thousand, four hundred".