33420302322440 has 384 divisors, whose sum is σ = 87366655918080. Its totient is φ = 11482179287040.

The previous prime is 33420302322437. The next prime is 33420302322481. The reversal of 33420302322440 is 4422320302433.

It is a happy number.

It is a super-2 number, since 2×33420302322440² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33420302322397 and 33420302322406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1332163577 + ... + 1332188663.

It is an arithmetic number, because the mean of its divisors is an integer number (227517333120).

Almost surely, 2^{33420302322440} 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 33420302322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43683327959040).

33420302322440 is an abundant number, since it is smaller than the sum of its proper divisors (53946353595640).

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

33420302322440 is a wasteful number, since it uses less digits than its factorization.

33420302322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25373 (or 25358 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 33420302322440 its reverse (4422320302433), we get a palindrome (37842622624873).

The spelling of 33420302322440 in words is "thirty-three trillion, four hundred twenty billion, three hundred two million, three hundred twenty-two thousand, four hundred forty".