42381768 has 128 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 11581440.

The previous prime is 42381767. The next prime is 42381769. The reversal of 42381768 is 86718324.

It is an interprime number because it is at equal distance from previous prime (42381767) and next prime (42381769).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (42381767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181780 + ... + 182012.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^42381768 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 42381768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

42381768 is an abundant number, since it is smaller than the sum of its proper divisors (84989112).

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

42381768 is a wasteful number, since it uses less digits than its factorization.

42381768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 42381768 is about 6510.1281093386. The cubic root of 42381768 is about 348.6526923699.

It can be divided in two parts, 4238 and 1768, that added together give a palindrome (6006).

The spelling of 42381768 in words is "forty-two million, three hundred eighty-one thousand, seven hundred sixty-eight".