240424202424042 has 192 divisors, whose sum is σ = 670882842040320. Its totient is φ = 60530781123072.

The previous prime is 240424202423963. The next prime is 240424202424059.

240424202424042 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 2 + 4 + 2 + 0 + 242 + 404 + 2 = 666.

240424202424042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×240424202424042² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240424202423988 and 240424202424006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34212442 + ... + 40636677.

It is an arithmetic number, because the mean of its divisors is an integer number (3494181468960).

Almost surely, 2^{240424202424042} is an apocalyptic number.

240424202424042 is an abundant number, since it is smaller than the sum of its proper divisors (430458639616278).

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

240424202424042 is a wasteful number, since it uses less digits than its factorization.

240424202424042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74849237 (or 74849234 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 24042420 and 2424042, that added together give a palindrome (26466462).

The spelling of 240424202424042 in words is "two hundred forty trillion, four hundred twenty-four billion, two hundred two million, four hundred twenty-four thousand, forty-two".