33043140400 has 120 divisors (see below), whose sum is σ = 81596126720. Its totient is φ = 12854350080.

The previous prime is 33043140391. The next prime is 33043140409. The reversal of 33043140400 is 404134033.

It is an interprime number because it is at equal distance from previous prime (33043140391) and next prime (33043140409).

It is a super-2 number, since 2×33043140400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33043140409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109397 + ... + 2125003.

Almost surely, 2^33043140400 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 33043140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40798063360).

33043140400 is an abundant number, since it is smaller than the sum of its proper divisors (48552986320).

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

33043140400 is a wasteful number, since it uses less digits than its factorization.

33043140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15771 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 33043140400 its reverse (404134033), we get a palindrome (33447274433).

The spelling of 33043140400 in words is "thirty-three billion, forty-three million, one hundred forty thousand, four hundred".