42042080 has 48 divisors (see below), whose sum is σ = 100154880. Its totient is φ = 16676352.

The previous prime is 42042061. The next prime is 42042103. The reversal of 42042080 is 8024024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19286 + ... + 21354.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 2^42042080 is an apocalyptic number.

42042080 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 42042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077440).

42042080 is an abundant number, since it is smaller than the sum of its proper divisors (58112800).

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

42042080 is a wasteful number, since it uses less digits than its factorization.

42042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 42042080 is about 6483.9864281166. The cubic root of 42042080 is about 347.7187139954.

The spelling of 42042080 in words is "forty-two million, forty-two thousand, eighty".