42033433024 has 84 divisors (see below), whose sum is σ = 93051708232. Its totient is φ = 18820707840.

The previous prime is 42033433009. The next prime is 42033433027.

42033433024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42033432983 and 42033433001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033433027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478342 + ... + 559354.

Almost surely, 2^42033433024 is an apocalyptic number.

42033433024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42033433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46525854116).

42033433024 is an abundant number, since it is smaller than the sum of its proper divisors (51018275208).

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

42033433024 is a wasteful number, since it uses less digits than its factorization.

42033433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81114 (or 81093 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

The spelling of 42033433024 in words is "forty-two billion, thirty-three million, four hundred thirty-three thousand, twenty-four".