42404200240424 has 64 divisors (see below), whose sum is σ = 88583660467200. Its totient is φ = 18864036849600.

The previous prime is 42404200240351. The next prime is 42404200240429.

42404200240424 is nontrivially palindromic in base 10.

42404200240424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42404200240429) 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 15 ways as a sum of consecutive naturals, for example, 186581339 + ... + 186808469.

It is an arithmetic number, because the mean of its divisors is an integer number (1384119694800).

Almost surely, 2^{42404200240424} is an apocalyptic number.

42404200240424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42404200240424 is an abundant number, since it is smaller than the sum of its proper divisors (46179460226776).

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

42404200240424 is a wasteful number, since it uses less digits than its factorization.

42404200240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272334 (or 272330 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 42404200 and 240424, that added together give a palindrome (42644624).

The spelling of 42404200240424 in words is "forty-two trillion, four hundred four billion, two hundred million, two hundred forty thousand, four hundred twenty-four".