41424342212120 has 256 divisors, whose sum is σ = 114863215104000. Its totient is φ = 13130417862144.

The previous prime is 41424342212069. The next prime is 41424342212153. The reversal of 41424342212120 is 2121224342414.

It is a super-2 number, since 2×41424342212120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37596011 + ... + 38682149.

It is an arithmetic number, because the mean of its divisors is an integer number (448684434000).

Almost surely, 2^{41424342212120} is an apocalyptic number.

41424342212120 is a gapful number since it is divisible by the number (40) 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 41424342212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57431607552000).

41424342212120 is an abundant number, since it is smaller than the sum of its proper divisors (73438872891880).

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

41424342212120 is a wasteful number, since it uses less digits than its factorization.

41424342212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086350 (or 1086346 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 41424342212120 its reverse (2121224342414), we get a palindrome (43545566554534).

The spelling of 41424342212120 in words is "forty-one trillion, four hundred twenty-four billion, three hundred forty-two million, two hundred twelve thousand, one hundred twenty".