240424121424042 has 48 divisors (see below), whose sum is σ = 536389162408008. Its totient is φ = 77781593640960.

The previous prime is 240424121424041. The next prime is 240424121424073.

240424121424042 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 241 + 2 + 1 + 4 + 2 + 404 + 2 = 666.

240424121424042 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 43759931686641 + 196664189737401 = 6615129^2 + 14023701^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240424121423988 and 240424121424006.

It is not an unprimeable number, because it can be changed into a prime (240424121424041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843841873 + ... + 844126740.

Almost surely, 2^{240424121424042} is an apocalyptic number.

240424121424042 is an abundant number, since it is smaller than the sum of its proper divisors (295965040983966).

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

240424121424042 is a wasteful number, since it uses less digits than its factorization.

240424121424042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687968855 (or 1687968852 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 240424121424042 in words is "two hundred forty trillion, four hundred twenty-four billion, one hundred twenty-one million, four hundred twenty-four thousand, forty-two".