42144320 has 28 divisors (see below), whose sum is σ = 100356924. Its totient is φ = 16857600.

The previous prime is 42144307. The next prime is 42144331. The reversal of 42144320 is 2344124.

It can be written as a sum of positive squares in 2 ways, for example, as 16581184 + 25563136 = 4072^2 + 5056^2 .

It is a super-2 number, since 2×42144320² = 3552287416524800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 42144292 and 42144301.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 65531 + ... + 66170.

Almost surely, 2^42144320 is an apocalyptic number.

42144320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42144320 is an abundant number, since it is smaller than the sum of its proper divisors (58212604).

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

42144320 is a wasteful number, since it uses less digits than its factorization.

42144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131718 (or 131708 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42144320 is about 6491.8656794484. The cubic root of 42144320 is about 348.0003523139. Note that the first 3 decimals are identical.

Adding to 42144320 its reverse (2344124), we get a palindrome (44488444).

The spelling of 42144320 in words is "forty-two million, one hundred forty-four thousand, three hundred twenty".