41134420122400 has 288 divisors, whose sum is σ = 114853294918656. Its totient is φ = 14239800960000.

The previous prime is 41134420122391. The next prime is 41134420122421. The reversal of 41134420122400 is 422102443114.

It is a super-2 number, since 2×41134420122400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42224805 + ... + 43187995.

It is an arithmetic number, because the mean of its divisors is an integer number (398796162912).

Almost surely, 2^{41134420122400} is an apocalyptic number.

41134420122400 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 41134420122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57426647459328).

41134420122400 is an abundant number, since it is smaller than the sum of its proper divisors (73718874796256).

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

41134420122400 is a wasteful number, since it uses less digits than its factorization.

41134420122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963456 (or 963443 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 41134420122400 its reverse (422102443114), we get a palindrome (41556522565514).

The spelling of 41134420122400 in words is "forty-one trillion, one hundred thirty-four billion, four hundred twenty million, one hundred twenty-two thousand, four hundred".