33042144124032 has 32 divisors (see below), whose sum is σ = 87768195330480. Its totient is φ = 11014048041216.

The previous prime is 33042144123979. The next prime is 33042144124037. The reversal of 33042144124032 is 23042144124033.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 33042144123984 and 33042144124002.

It is not an unprimeable number, because it can be changed into a prime (33042144124037) 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 3 ways as a sum of consecutive naturals, for example, 43023624778 + ... + 43023625545.

Almost surely, 2^{33042144124032} is an apocalyptic number.

33042144124032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33042144124032 is an abundant number, since it is smaller than the sum of its proper divisors (54726051206448).

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

33042144124032 is an equidigital number, since it uses as much as digits as its factorization.

33042144124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86047250340 (or 86047250328 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 33042144124032 its reverse (23042144124033), we get a palindrome (56084288248065).

Subtracting from 33042144124032 its reverse (23042144124033), we obtain a palindrome (9999999999999).

The spelling of 33042144124032 in words is "thirty-three trillion, forty-two billion, one hundred forty-four million, one hundred twenty-four thousand, thirty-two".