33032234003040 has 144 divisors (see below), whose sum is σ = 112771798147008. Its totient is φ = 8804743262208.

The previous prime is 33032234003039. The next prime is 33032234003059. The reversal of 33032234003040 is 4030043223033.

33032234003040 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 223 + 400 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33032234003040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33032234002995 and 33032234003013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1721817 + ... + 8308376.

It is an arithmetic number, because the mean of its divisors is an integer number (783137487132).

Almost surely, 2^{33032234003040} is an apocalyptic number.

33032234003040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33032234003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56385899073504).

33032234003040 is an abundant number, since it is smaller than the sum of its proper divisors (79739564143968).

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

33032234003040 is a wasteful number, since it uses less digits than its factorization.

33032234003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032501 (or 10032490 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 33032234003040 its reverse (4030043223033), we get a palindrome (37062277226073).

The spelling of 33032234003040 in words is "thirty-three trillion, thirty-two billion, two hundred thirty-four million, three thousand, forty".