414101312444020 has 24 divisors (see below), whose sum is σ = 873734143611168. Its totient is φ = 164855498791200.

The previous prime is 414101312443981. The next prime is 414101312444041. The reversal of 414101312444020 is 20444213101414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49064132326 + ... + 49064140765.

It is an arithmetic number, because the mean of its divisors is an integer number (36405589317132).

Almost surely, 2^{414101312444020} is an apocalyptic number.

It is an amenable number.

414101312444020 is an abundant number, since it is smaller than the sum of its proper divisors (459632831167148).

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

414101312444020 is a wasteful number, since it uses less digits than its factorization.

414101312444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98128273311 (or 98128273309 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 414101312444020 its reverse (20444213101414), we get a palindrome (434545525545434).

The spelling of 414101312444020 in words is "four hundred fourteen trillion, one hundred one billion, three hundred twelve million, four hundred forty-four thousand, twenty".