414101144420 has 48 divisors (see below), whose sum is σ = 886145203440. Its totient is φ = 162492235776.

The previous prime is 414101144417. The next prime is 414101144447. The reversal of 414101144420 is 24441101414.

It can be written as a sum of positive squares in 8 ways, for example, as 299705344 + 413801439076 = 17312^2 + 643274^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414101144420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8830796 + ... + 8877564.

It is an arithmetic number, because the mean of its divisors is an integer number (18461358405).

Almost surely, 2^414101144420 is an apocalyptic number.

It is an amenable number.

414101144420 is an abundant number, since it is smaller than the sum of its proper divisors (472044059020).

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

414101144420 is a wasteful number, since it uses less digits than its factorization.

414101144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55184 (or 55182 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 414101144420 its reverse (24441101414), we get a palindrome (438542245834).

The spelling of 414101144420 in words is "four hundred fourteen billion, one hundred one million, one hundred forty-four thousand, four hundred twenty".