42816330 has 64 divisors (see below), whose sum is σ = 114756480. Its totient is φ = 11359872.

The previous prime is 42816311. The next prime is 42816343. The reversal of 42816330 is 3361824.

It is a happy number.

42816330 is a `hidden beast` number, since 4 + 28 + 1 + 633 + 0 = 666.

It is a super-2 number, since 2×42816330² = 3666476229337800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42816294 and 42816303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93462 + ... + 93918.

It is an arithmetic number, because the mean of its divisors is an integer number (1793070).

Almost surely, 2^42816330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42816330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57378240).

42816330 is an abundant number, since it is smaller than the sum of its proper divisors (71940150).

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

42816330 is a wasteful number, since it uses less digits than its factorization.

42816330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42816330 is about 6543.4188311616. The cubic root of 42816330 is about 349.8402808663.

The spelling of 42816330 in words is "forty-two million, eight hundred sixteen thousand, three hundred thirty".