42438816 has 120 divisors (see below), whose sum is σ = 142702560. Its totient is φ = 12120192.

The previous prime is 42438793. The next prime is 42438833. The reversal of 42438816 is 61883424.

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 a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16975 + ... + 19313.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 2^42438816 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 42438816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71351280).

42438816 is an abundant number, since it is smaller than the sum of its proper divisors (100263744).

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

42438816 is a wasteful number, since it uses less digits than its factorization.

42438816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2351 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 42438816 is about 6514.5081165043. The cubic root of 42438816 is about 348.8090569430.

The spelling of 42438816 in words is "forty-two million, four hundred thirty-eight thousand, eight hundred sixteen".