414101434404020 has 72 divisors (see below), whose sum is σ = 958154503257504. Its totient is φ = 149091424720000.

The previous prime is 414101434404019. The next prime is 414101434404059. The reversal of 414101434404020 is 20404434101414.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 90015326 + ... + 94503765.

It is an arithmetic number, because the mean of its divisors is an integer number (13307701434132).

Almost surely, 2^{414101434404020} is an apocalyptic number.

It is an amenable number.

414101434404020 is an abundant number, since it is smaller than the sum of its proper divisors (544053068853484).

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

414101434404020 is a wasteful number, since it uses less digits than its factorization.

414101434404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184519313 (or 184519210 counting only the distinct ones).

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

Adding to 414101434404020 its reverse (20404434101414), we get a palindrome (434505868505434).

The spelling of 414101434404020 in words is "four hundred fourteen trillion, one hundred one billion, four hundred thirty-four million, four hundred four thousand, twenty".