42033233024 has 32 divisors (see below), whose sum is σ = 84567197340. Its totient is φ = 20808524800.

The previous prime is 42033233009. The next prime is 42033233027.

42033233024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 33354447424 + 8678785600 = 182632^2 + 93160^2 .

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 = 42033232984 and 42033233002.

It is not an unprimeable number, because it can be changed into a prime (42033233027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1612739 + ... + 1638594.

Almost surely, 2^42033233024 is an apocalyptic number.

It is an amenable number.

42033233024 is an abundant number, since it is smaller than the sum of its proper divisors (42533964316).

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

42033233024 is a wasteful number, since it uses less digits than its factorization.

42033233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251448 (or 3251436 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

The spelling of 42033233024 in words is "forty-two billion, thirty-three million, two hundred thirty-three thousand, twenty-four".