42144128 has 128 divisors (see below), whose sum is σ = 100531200. Its totient is φ = 17418240.

The previous prime is 42144121. The next prime is 42144131. The reversal of 42144128 is 82144124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42144128² = 3552255049760768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a junction number, because it is equal to n+sod(n) for n = 42144097 and 42144106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980075 + ... + 980117.

It is an arithmetic number, because the mean of its divisors is an integer number (785400).

Almost surely, 2^42144128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50265600).

42144128 is an abundant number, since it is smaller than the sum of its proper divisors (58387072).

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

42144128 is a wasteful number, since it uses less digits than its factorization.

42144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 42144128 is about 6491.8508916949. The cubic root of 42144128 is about 347.9998238428. Note that the first 3 decimals are identical.

The spelling of 42144128 in words is "forty-two million, one hundred forty-four thousand, one hundred twenty-eight".