41414104100000 has 288 divisors, whose sum is σ = 106824916642752. Its totient is φ = 15785683200000.

The previous prime is 41414104099969. The next prime is 41414104100021. The reversal of 41414104100000 is 140141414.

It is a happy number.

41414104100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176182547 + ... + 176417453.

It is an arithmetic number, because the mean of its divisors is an integer number (370919849454).

Almost surely, 2^{41414104100000} is an apocalyptic number.

41414104100000 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 41414104100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53412458321376).

41414104100000 is an abundant number, since it is smaller than the sum of its proper divisors (65410812542752).

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

41414104100000 is an equidigital number, since it uses as much as digits as its factorization.

41414104100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235026 (or 234998 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41414104100000 its reverse (140141414), we get a palindrome (41414244241414).

The spelling of 41414104100000 in words is "forty-one trillion, four hundred fourteen billion, one hundred four million, one hundred thousand".