42133312 has 56 divisors (see below), whose sum is σ = 91211400. Its totient is φ = 19193856.

The previous prime is 42133297. The next prime is 42133313. The reversal of 42133312 is 21333124.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 41165056 = 984^2 + 6416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42133312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73764 + ... + 74332.

It is an arithmetic number, because the mean of its divisors is an integer number (1628775).

Almost surely, 2^42133312 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 42133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45605700).

42133312 is an abundant number, since it is smaller than the sum of its proper divisors (49078088).

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

42133312 is a wasteful number, since it uses less digits than its factorization.

42133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 42133312 is about 6491.0177938440. The cubic root of 42133312 is about 347.9700507101.

Adding to 42133312 its reverse (21333124), we get a palindrome (63466436).

It can be divided in two parts, 421 and 33312, that added together give a palindrome (33733).

The spelling of 42133312 in words is "forty-two million, one hundred thirty-three thousand, three hundred twelve".