42333001024 has 56 divisors (see below), whose sum is σ = 87762054600. Its totient is φ = 20234188800.

The previous prime is 42333001013. The next prime is 42333001037. The reversal of 42333001024 is 42010033324.

It is a happy number.

42333001024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25268281600 + 17064719424 = 158960^2 + 130632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42333000986 and 42333001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74542 + ... + 300370.

Almost surely, 2^42333001024 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 42333001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43881027300).

42333001024 is an abundant number, since it is smaller than the sum of its proper divisors (45429053576).

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

42333001024 is a wasteful number, since it uses less digits than its factorization.

42333001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225971 (or 225961 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 42333001024 its reverse (42010033324), we get a palindrome (84343034348).

It can be divided in two parts, 4233300 and 1024, that added together give a palindrome (4234324).

The spelling of 42333001024 in words is "forty-two billion, three hundred thirty-three million, one thousand, twenty-four".