33801132640000 has 360 divisors, whose sum is σ = 97385821849008. Its totient is φ = 11568291840000.

The previous prime is 33801132639997. The next prime is 33801132640003. The reversal of 33801132640000 is 4623110833.

It is an interprime number because it is at equal distance from previous prime (33801132639997) and next prime (33801132640003).

It is a super-2 number, since 2×33801132640000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33801132640003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 29355142 + ... + 30484858.

Almost surely, 2^{33801132640000} 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 33801132640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48692910924504).

33801132640000 is an abundant number, since it is smaller than the sum of its proper divisors (63584689209008).

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

33801132640000 is a wasteful number, since it uses less digits than its factorization.

33801132640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129781 (or 1129752 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 33801132640000 its reverse (4623110833), we get a palindrome (33805755750833).

The spelling of 33801132640000 in words is "thirty-three trillion, eight hundred one billion, one hundred thirty-two million, six hundred forty thousand".