42033033024 has 112 divisors (see below), whose sum is σ = 117294842880. Its totient is φ = 13247608320.

The previous prime is 42033033023. The next prime is 42033033047.

42033033024 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 42033032985 and 42033033003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033033023) 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 15 ways as a sum of consecutive naturals, for example, 1896889 + ... + 1918919.

Almost surely, 2^42033033024 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 42033033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58647421440).

42033033024 is an abundant number, since it is smaller than the sum of its proper divisors (75261809856).

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

42033033024 is a wasteful number, since it uses less digits than its factorization.

42033033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22588 (or 22578 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 420330 and 33024, that added together give a palindrome (453354).

The spelling of 42033033024 in words is "forty-two billion, thirty-three million, thirty-three thousand, twenty-four".