42914664 has 256 divisors, whose sum is σ = 145152000. Its totient is φ = 11612160.

The previous prime is 42914623. The next prime is 42914671. The reversal of 42914664 is 46641924.

42914664 = 22³ + 23³ + ... + 114³.

42914664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1384329 + ... + 1384359.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^42914664 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 42914664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

42914664 is an abundant number, since it is smaller than the sum of its proper divisors (102237336).

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

42914664 is a wasteful number, since it uses less digits than its factorization.

42914664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42914664 is about 6550.9284838105. The cubic root of 42914664 is about 350.1078959867.

The spelling of 42914664 in words is "forty-two million, nine hundred fourteen thousand, six hundred sixty-four".