42424128 has 56 divisors (see below), whose sum is σ = 124724160. Its totient is φ = 14140800.

The previous prime is 42424117. The next prime is 42424139. The reversal of 42424128 is 82142424.

42424128 is a `hidden beast` number, since 4 + 242 + 412 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42424117) and next prime (42424139).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10548 + ... + 14003.

Almost surely, 2^42424128 is an apocalyptic number.

42424128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42424128 is an abundant number, since it is smaller than the sum of its proper divisors (82300032).

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

42424128 is a wasteful number, since it uses less digits than its factorization.

42424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24572 (or 24556 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 42424128 is about 6513.3806890124. The cubic root of 42424128 is about 348.7688115648.

The spelling of 42424128 in words is "forty-two million, four hundred twenty-four thousand, one hundred twenty-eight".