42056065024 has 56 divisors (see below), whose sum is σ = 85292781408. Its totient is φ = 20731576320.

The previous prime is 42056065019. The next prime is 42056065039.

42056065024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42056065024² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 545479 + ... + 617785.

Almost surely, 2^42056065024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42056065024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42646390704).

42056065024 is an abundant number, since it is smaller than the sum of its proper divisors (43236716384).

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

42056065024 is an frugal number, since it uses more digits than its factorization.

42056065024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72404 (or 72380 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 420560 and 65024, that added together give a palindrome (485584).

The spelling of 42056065024 in words is "forty-two billion, fifty-six million, sixty-five thousand, twenty-four".