33243140400 has 60 divisors (see below), whose sum is σ = 106488863592. Its totient is φ = 8864837120.

The previous prime is 33243140393. The next prime is 33243140401. The reversal of 33243140400 is 404134233.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×33243140400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33243140401) 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 11 ways as a sum of consecutive naturals, for example, 13850109 + ... + 13852508.

Almost surely, 2^33243140400 is an apocalyptic number.

33243140400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33243140400 is an abundant number, since it is smaller than the sum of its proper divisors (73245723192).

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

33243140400 is a wasteful number, since it uses less digits than its factorization.

33243140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27702638 (or 27702627 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 33243140400 its reverse (404134233), we get a palindrome (33647274633).

The spelling of 33243140400 in words is "thirty-three billion, two hundred forty-three million, one hundred forty thousand, four hundred".