42333320 has 64 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 16268800.

The previous prime is 42333307. The next prime is 42333341. The reversal of 42333320 is 2333324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42333292 and 42333301.

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 15 ways as a sum of consecutive naturals, for example, 135965 + ... + 136275.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^42333320 is an apocalyptic number.

42333320 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 42333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

42333320 is an abundant number, since it is smaller than the sum of its proper divisors (56732920).

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

42333320 is a wasteful number, since it uses less digits than its factorization.

42333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 42333320 is about 6506.4060740166. The cubic root of 42333320 is about 348.5197895759.

Adding to 42333320 its reverse (2333324), we get a palindrome (44666644).

The spelling of 42333320 in words is "forty-two million, three hundred thirty-three thousand, three hundred twenty".