42440404424 has 256 divisors, whose sum is σ = 97481318400. Its totient is φ = 17249760000.

The previous prime is 42440404423. The next prime is 42440404429.

42440404424 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42440404423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 420201974 + ... + 420202074.

It is an arithmetic number, because the mean of its divisors is an integer number (380786400).

Almost surely, 2^42440404424 is an apocalyptic number.

42440404424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440404424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48740659200).

42440404424 is an abundant number, since it is smaller than the sum of its proper divisors (55040913976).

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

42440404424 is a wasteful number, since it uses less digits than its factorization.

42440404424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

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

The spelling of 42440404424 in words is "forty-two billion, four hundred forty million, four hundred four thousand, four hundred twenty-four".