42114816 has 108 divisors (see below), whose sum is σ = 126110712. Its totient is φ = 14017536.

The previous prime is 42114767. The next prime is 42114823. The reversal of 42114816 is 61841124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 42114816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61870 + ... + 62546.

Almost surely, 2^42114816 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 42114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63055356).

42114816 is an abundant number, since it is smaller than the sum of its proper divisors (83995896).

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

42114816 is an frugal number, since it uses more digits than its factorization.

42114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 682 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 42114816 is about 6489.5928994044. The cubic root of 42114816 is about 347.9191250825.

The spelling of 42114816 in words is "forty-two million, one hundred fourteen thousand, eight hundred sixteen".