42333040 has 80 divisors (see below), whose sum is σ = 103654080. Its totient is φ = 16056320.

The previous prime is 42333029. The next prime is 42333047. The reversal of 42333040 is 4033324.

42333040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42332999 and 42333017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333047) 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 15 ways as a sum of consecutive naturals, for example, 164592 + ... + 164848.

It is an arithmetic number, because the mean of its divisors is an integer number (1295676).

Almost surely, 2^42333040 is an apocalyptic number.

42333040 is a gapful number since it is divisible by the number (40) 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 42333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51827040).

42333040 is an abundant number, since it is smaller than the sum of its proper divisors (61321040).

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

42333040 is a wasteful number, since it uses less digits than its factorization.

42333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 42333040 is about 6506.3845567258. The cubic root of 42333040 is about 348.5190211838.

Adding to 42333040 its reverse (4033324), we get a palindrome (46366364).

The spelling of 42333040 in words is "forty-two million, three hundred thirty-three thousand, forty".