33311333440040 has 64 divisors (see below), whose sum is σ = 76564254931200. Its totient is φ = 13037784863488.

The previous prime is 33311333440019. The next prime is 33311333440043. The reversal of 33311333440040 is 4004433311333.

It is a super-2 number, since 2×33311333440040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33311333439979 and 33311333440006.

It is not an unprimeable number, because it can be changed into a prime (33311333440043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5351342 + ... + 9760098.

It is an arithmetic number, because the mean of its divisors is an integer number (1196316483300).

Almost surely, 2^{33311333440040} 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 33311333440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38282127465600).

33311333440040 is an abundant number, since it is smaller than the sum of its proper divisors (43252921491160).

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

33311333440040 is a wasteful number, since it uses less digits than its factorization.

33311333440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412834 (or 4412830 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 33311333440040 its reverse (4004433311333), we get a palindrome (37315766751373).

The spelling of 33311333440040 in words is "thirty-three trillion, three hundred eleven billion, three hundred thirty-three million, four hundred forty thousand, forty".