33034122033440 has 192 divisors, whose sum is σ = 89631577728000. Its totient is φ = 11378564398080.

The previous prime is 33034122033433. The next prime is 33034122033457. The reversal of 33034122033440 is 4433022143033.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 33034122033397 and 33034122033406.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 249362741 + ... + 249495179.

It is an arithmetic number, because the mean of its divisors is an integer number (466831134000).

Almost surely, 2^{33034122033440} 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 33034122033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815788864000).

33034122033440 is an abundant number, since it is smaller than the sum of its proper divisors (56597455694560).

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

33034122033440 is a wasteful number, since it uses less digits than its factorization.

33034122033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139943 (or 139935 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 33034122033440 its reverse (4433022143033), we get a palindrome (37467144176473).

The spelling of 33034122033440 in words is "thirty-three trillion, thirty-four billion, one hundred twenty-two million, thirty-three thousand, four hundred forty".