42814368 has 72 divisors (see below), whose sum is σ = 124383168. Its totient is φ = 13963392.

The previous prime is 42814351. The next prime is 42814393. The reversal of 42814368 is 86341824.

It is a tau number, because it is divible by the number of its divisors (72).

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 congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11955 + ... + 15117.

It is an arithmetic number, because the mean of its divisors is an integer number (1727544).

Almost surely, 2^42814368 is an apocalyptic number.

42814368 is a gapful number since it is divisible by the number (48) 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 42814368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62191584).

42814368 is an abundant number, since it is smaller than the sum of its proper divisors (81568800).

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

42814368 is a wasteful number, since it uses less digits than its factorization.

42814368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3215 counting only the distinct ones).

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

The square root of 42814368 is about 6543.2689078166. The cubic root of 42814368 is about 349.8349371332.

It can be divided in two parts, 4281 and 4368, that added together give a square (8649 = 93²).

The spelling of 42814368 in words is "forty-two million, eight hundred fourteen thousand, three hundred sixty-eight".