42434777743424 has 224 divisors, whose sum is σ = 98017959513600. Its totient is φ = 18013574799360.

The previous prime is 42434777743411. The next prime is 42434777743439.

42434777743424 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3664799267 + ... + 3664810845.

It is an arithmetic number, because the mean of its divisors is an integer number (437580176400).

Almost surely, 2^{42434777743424} is an apocalyptic number.

42434777743424 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 42434777743424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008979756800).

42434777743424 is an abundant number, since it is smaller than the sum of its proper divisors (55583181770176).

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

42434777743424 is a wasteful number, since it uses less digits than its factorization.

42434777743424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13961 (or 13951 counting only the distinct ones).

The product of its digits is 354041856, while the sum is 62.

The spelling of 42434777743424 in words is "forty-two trillion, four hundred thirty-four billion, seven hundred seventy-seven million, seven hundred forty-three thousand, four hundred twenty-four".