42434424144 has 90 divisors (see below), whose sum is σ = 138146445450. Its totient is φ = 12124119168.

The previous prime is 42434424133. The next prime is 42434424199. The reversal of 42434424144 is 44142443424.

It is a happy number.

42434424144 is a `hidden beast` number, since 42 + 434 + 42 + 4 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42353640000 + 80784144 = 205800^2 + 8988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 42434424099 and 42434424108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2999919 + ... + 3014030.

It is an arithmetic number, because the mean of its divisors is an integer number (1534960505).

Almost surely, 2^42434424144 is an apocalyptic number.

It is an amenable number.

42434424144 is an abundant number, since it is smaller than the sum of its proper divisors (95712021306).

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

42434424144 is a wasteful number, since it uses less digits than its factorization.

42434424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013977 (or 6013961 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 42434424144 its reverse (44142443424), we get a palindrome (86576867568).

The spelling of 42434424144 in words is "forty-two billion, four hundred thirty-four million, four hundred twenty-four thousand, one hundred forty-four".