42124080 has 80 divisors (see below), whose sum is σ = 131491584. Its totient is φ = 11155200.

The previous prime is 42124073. The next prime is 42124091. The reversal of 42124080 is 8042124.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39555 + ... + 40605.

Almost surely, 2^42124080 is an apocalyptic number.

42124080 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 42124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65745792).

42124080 is an abundant number, since it is smaller than the sum of its proper divisors (89367504).

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

42124080 is a wasteful number, since it uses less digits than its factorization.

42124080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42124080 is about 6490.3066183348. The cubic root of 42124080 is about 347.9446338130.

The spelling of 42124080 in words is "forty-two million, one hundred twenty-four thousand, eighty".