42441168 has 80 divisors (see below), whose sum is σ = 136705536. Its totient is φ = 11022720.

The previous prime is 42441167. The next prime is 42441169. The reversal of 42441168 is 86114424.

It is an interprime number because it is at equal distance from previous prime (42441167) and next prime (42441169).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42441167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2046 + ... + 9437.

Almost surely, 2^42441168 is an apocalyptic number.

42441168 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 42441168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68352768).

42441168 is an abundant number, since it is smaller than the sum of its proper divisors (94264368).

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

42441168 is a wasteful number, since it uses less digits than its factorization.

42441168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11512 (or 11506 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 42441168 is about 6514.6886341559. The cubic root of 42441168 is about 348.8155006017.

The spelling of 42441168 in words is "forty-two million, four hundred forty-one thousand, one hundred sixty-eight".