42431011013424 has 160 divisors (see below), whose sum is σ = 119768368262400. Its totient is φ = 12837458022400.

The previous prime is 42431011013357. The next prime is 42431011013453.

It is a happy number.

42431011013424 is nontrivially palindromic in base 10.

42431011013424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42431011013391 and 42431011013400.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1145248852 + ... + 1145285900.

It is an arithmetic number, because the mean of its divisors is an integer number (748552301640).

Almost surely, 2^{42431011013424} is an apocalyptic number.

42431011013424 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 42431011013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59884184131200).

42431011013424 is an abundant number, since it is smaller than the sum of its proper divisors (77337357248976).

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

42431011013424 is a wasteful number, since it uses less digits than its factorization.

42431011013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40459 (or 40453 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4243101 and 1013424, that added together give a palindrome (5256525).

The spelling of 42431011013424 in words is "forty-two trillion, four hundred thirty-one billion, eleven million, thirteen thousand, four hundred twenty-four".