33442031322040 has 64 divisors (see below), whose sum is σ = 83831475087360. Its totient is φ = 11901999534720.

The previous prime is 33442031322019. The next prime is 33442031322041. The reversal of 33442031322040 is 4022313024433.

It is a happy number.

It is a super-2 number, since 2×33442031322040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33442031321993 and 33442031322011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442031322041) 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, 808539072 + ... + 808580431.

It is an arithmetic number, because the mean of its divisors is an integer number (1309866798240).

Almost surely, 2^{33442031322040} is an apocalyptic number.

It is an amenable number.

33442031322040 is an abundant number, since it is smaller than the sum of its proper divisors (50389443765320).

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

33442031322040 is a wasteful number, since it uses less digits than its factorization.

33442031322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617119572 (or 1617119568 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 33442031322040 its reverse (4022313024433), we get a palindrome (37464344346473).

The spelling of 33442031322040 in words is "thirty-three trillion, four hundred forty-two billion, thirty-one million, three hundred twenty-two thousand, forty".