42144124 has 12 divisors (see below), whose sum is σ = 80457048. Its totient is φ = 19156400.

The previous prime is 42144121. The next prime is 42144131.

42144124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42144124² = 3552254375454752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 = 42144095 and 42144104.

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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 478867 + ... + 478954.

It is an arithmetic number, because the mean of its divisors is an integer number (6704754).

Almost surely, 2^42144124 is an apocalyptic number.

42144124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42144124 is a deficient number, since it is larger than the sum of its proper divisors (38312924).

42144124 is a wasteful number, since it uses less digits than its factorization.

42144124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957836 (or 957834 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 42144124 is about 6491.8505836164. The cubic root of 42144124 is about 347.9998128329. Note that the first 3 decimals are identical.

It can be divided in two parts, 4214 and 4124, that added together give a palindrome (8338).

The spelling of 42144124 in words is "forty-two million, one hundred forty-four thousand, one hundred twenty-four".