42420322240340 has 144 divisors (see below), whose sum is σ = 98831454598800. Its totient is φ = 15281607813120.

The previous prime is 42420322240327. The next prime is 42420322240357. The reversal of 42420322240340 is 4304222302424.

It can be written as a sum of positive squares in 8 ways, for example, as 2482017495364 + 39938304744976 = 1575442^2 + 6319676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42420322240297 and 42420322240306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2824812512 + ... + 2824827528.

It is an arithmetic number, because the mean of its divisors is an integer number (686329545825).

Almost surely, 2^{42420322240340} 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 42420322240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49415727299400).

42420322240340 is an abundant number, since it is smaller than the sum of its proper divisors (56411132358460).

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

42420322240340 is a wasteful number, since it uses less digits than its factorization.

42420322240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25866 (or 25853 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 42420322240340 its reverse (4304222302424), we get a palindrome (46724544542764).

The spelling of 42420322240340 in words is "forty-two trillion, four hundred twenty billion, three hundred twenty-two million, two hundred forty thousand, three hundred forty".