41342420340 has 432 divisors, whose sum is σ = 144162018000. Its totient is φ = 9531260928.

The previous prime is 41342420333. The next prime is 41342420341. The reversal of 41342420340 is 4302424314.

It is a happy number.

41342420340 is a `hidden beast` number, since 413 + 4 + 2 + 4 + 203 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 489117456 + 40853302884 = 22116^2 + 202122^2 .

It is a super-3 number, since 3×41342420340³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41342420341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92076436 + ... + 92076884.

It is an arithmetic number, because the mean of its divisors is an integer number (333708375).

Almost surely, 2^41342420340 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 41342420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72081009000).

41342420340 is an abundant number, since it is smaller than the sum of its proper divisors (102819597660).

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

41342420340 is a wasteful number, since it uses less digits than its factorization.

41342420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 41342420340 its reverse (4302424314), we get a palindrome (45644844654).

The spelling of 41342420340 in words is "forty-one billion, three hundred forty-two million, four hundred twenty thousand, three hundred forty".