42412420132340 has 24 divisors (see below), whose sum is σ = 90526181989992. Its totient is φ = 16686853822080.

The previous prime is 42412420132333. The next prime is 42412420132349. The reversal of 42412420132340 is 4323102421424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2972362194916 + 39440057937424 = 1724054^2 + 6280132^2 .

It is a super-2 number, since 2×42412420132340² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42412420132297 and 42412420132306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412420132349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17382138179 + ... + 17382140618.

It is an arithmetic number, because the mean of its divisors is an integer number (3771924249583).

Almost surely, 2^{42412420132340} is an apocalyptic number.

It is an amenable number.

42412420132340 is an abundant number, since it is smaller than the sum of its proper divisors (48113761857652).

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

42412420132340 is a wasteful number, since it uses less digits than its factorization.

42412420132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34764278867 (or 34764278865 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42412420132340 its reverse (4323102421424), we get a palindrome (46735522553764).

The spelling of 42412420132340 in words is "forty-two trillion, four hundred twelve billion, four hundred twenty million, one hundred thirty-two thousand, three hundred forty".