42433434144 has 48 divisors (see below), whose sum is σ = 123764185440. Its totient is φ = 14144477760.

The previous prime is 42433434097. The next prime is 42433434187. The reversal of 42433434144 is 44143433424.

42433434144 is a `hidden beast` number, since 4 + 243 + 34 + 341 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 42433434099 and 42433434108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24555522 + ... + 24557249.

It is an arithmetic number, because the mean of its divisors is an integer number (2578420530).

Almost surely, 2^42433434144 is an apocalyptic number.

It is an amenable number.

42433434144 is an abundant number, since it is smaller than the sum of its proper divisors (81330751296).

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

42433434144 is a wasteful number, since it uses less digits than its factorization.

42433434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49112790 (or 49112776 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 42433434144 its reverse (44143433424), we get a palindrome (86576867568).

The spelling of 42433434144 in words is "forty-two billion, four hundred thirty-three million, four hundred thirty-four thousand, one hundred forty-four".