42133320 has 48 divisors (see below), whose sum is σ = 136934460. Its totient is φ = 11235456.

The previous prime is 42133313. The next prime is 42133331. The reversal of 42133320 is 2333124.

It can be written as a sum of positive squares in 2 ways, for example, as 40678884 + 1454436 = 6378^2 + 1206^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42133293 and 42133302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58159 + ... + 58878.

Almost surely, 2^42133320 is an apocalyptic number.

42133320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42133320 is an abundant number, since it is smaller than the sum of its proper divisors (94801140).

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

42133320 is a wasteful number, since it uses less digits than its factorization.

42133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117054 (or 117047 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42133320 is about 6491.0184100802. The cubic root of 42133320 is about 347.9700727336.

Adding to 42133320 its reverse (2333124), we get a palindrome (44466444).

The spelling of 42133320 in words is "forty-two million, one hundred thirty-three thousand, three hundred twenty".