42012322321024 has 128 divisors (see below), whose sum is σ = 94266319656960. Its totient is φ = 18477395328000.

The previous prime is 42012322321003. The next prime is 42012322321031.

42012322321024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42012322321024² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42012322320983 and 42012322321001.

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 15 ways as a sum of consecutive naturals, for example, 270670959 + ... + 270826129.

It is an arithmetic number, because the mean of its divisors is an integer number (736455622320).

Almost surely, 2^{42012322321024} is an apocalyptic number.

42012322321024 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 42012322321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47133159828480).

42012322321024 is an abundant number, since it is smaller than the sum of its proper divisors (52253997335936).

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

42012322321024 is a wasteful number, since it uses less digits than its factorization.

42012322321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161430 (or 161418 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4201232 and 2321024, that added together give a palindrome (6522256).

The spelling of 42012322321024 in words is "forty-two trillion, twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, twenty-four".