33422032011040 has 192 divisors, whose sum is σ = 80486932780800. Its totient is φ = 13113260273664.

The previous prime is 33422032011019. The next prime is 33422032011073. The reversal of 33422032011040 is 4011023022433.

It is a super-2 number, since 2×33422032011040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33422032010996 and 33422032011014.

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, 766907971 + ... + 766951549.

It is an arithmetic number, because the mean of its divisors is an integer number (419202774900).

Almost surely, 2^{33422032011040} 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 33422032011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40243466390400).

33422032011040 is an abundant number, since it is smaller than the sum of its proper divisors (47064900769760).

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

33422032011040 is a wasteful number, since it uses less digits than its factorization.

33422032011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44139 (or 44131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 33422032011040 its reverse (4011023022433), we get a palindrome (37433055033473).

The spelling of 33422032011040 in words is "thirty-three trillion, four hundred twenty-two billion, thirty-two million, eleven thousand, forty".