42056665024 has 168 divisors, whose sum is σ = 98121575664. Its totient is φ = 17808384000.

The previous prime is 42056664989. The next prime is 42056665033.

42056665024 is nontrivially palindromic in base 10.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13294867 + ... + 13298029.

It is an arithmetic number, because the mean of its divisors is an integer number (584056998).

Almost surely, 2^42056665024 is an apocalyptic number.

42056665024 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 42056665024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49060787832).

42056665024 is an abundant number, since it is smaller than the sum of its proper divisors (56064910640).

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

42056665024 is a wasteful number, since it uses less digits than its factorization.

42056665024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 42056665024 in words is "forty-two billion, fifty-six million, six hundred sixty-five thousand, twenty-four".