42038080 has 112 divisors (see below), whose sum is σ = 117043200. Its totient is φ = 14375424.

The previous prime is 42038057. The next prime is 42038083. The reversal of 42038080 is 8083024.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42038083) 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, 109569 + ... + 109951.

Almost surely, 2^42038080 is an apocalyptic number.

42038080 is a gapful number since it is divisible by the number (40) 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 42038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58521600).

42038080 is an abundant number, since it is smaller than the sum of its proper divisors (75005120).

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

42038080 is an equidigital number, since it uses as much as digits as its factorization.

42038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 42038080 is about 6483.6779685607. The cubic root of 42038080 is about 347.7076860049.

The spelling of 42038080 in words is "forty-two million, thirty-eight thousand, eighty".