33042403100440 has 256 divisors, whose sum is σ = 79343877888000. Its totient is φ = 12362477783040.

The previous prime is 33042403100417. The next prime is 33042403100453. The reversal of 33042403100440 is 4400130424033.

It is a junction number, because it is equal to n+sod(n) for n = 33042403100399 and 33042403100408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3252520081 + ... + 3252530239.

It is an arithmetic number, because the mean of its divisors is an integer number (309937023000).

Almost surely, 2^{33042403100440} 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 33042403100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39671938944000).

33042403100440 is an abundant number, since it is smaller than the sum of its proper divisors (46301474787560).

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

33042403100440 is a wasteful number, since it uses less digits than its factorization.

33042403100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770 (or 10766 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 33042403100440 its reverse (4400130424033), we get a palindrome (37442533524473).

The spelling of 33042403100440 in words is "thirty-three trillion, forty-two billion, four hundred three million, one hundred thousand, four hundred forty".