414121223223504 has 80 divisors (see below), whose sum is σ = 1188954115330240. Its totient is φ = 138008724670080.

The previous prime is 414121223223503. The next prime is 414121223223517. The reversal of 414121223223504 is 405322322121414.

414121223223504 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 2 + 122 + 3 + 2 + 23 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414121223223503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108126262 + ... + 111890709.

It is an arithmetic number, because the mean of its divisors is an integer number (14861926441628).

Almost surely, 2^{414121223223504} is an apocalyptic number.

It is an amenable number.

414121223223504 is an abundant number, since it is smaller than the sum of its proper divisors (774832892106736).

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

414121223223504 is a wasteful number, since it uses less digits than its factorization.

414121223223504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220021345 (or 220021333 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 414121223223504 its reverse (405322322121414), we get a palindrome (819443545344918).

The spelling of 414121223223504 in words is "four hundred fourteen trillion, one hundred twenty-one billion, two hundred twenty-three million, two hundred twenty-three thousand, five hundred four".