414110013020 has 144 divisors (see below), whose sum is σ = 988924809600. Its totient is φ = 144414988800.

The previous prime is 414110013013. The next prime is 414110013041. The reversal of 414110013020 is 20310011414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414110013020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21809891 + ... + 21828869.

It is an arithmetic number, because the mean of its divisors is an integer number (6867533400).

Almost surely, 2^414110013020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414110013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494462404800).

414110013020 is an abundant number, since it is smaller than the sum of its proper divisors (574814796580).

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

414110013020 is a wasteful number, since it uses less digits than its factorization.

414110013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19140 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 414110013020 its reverse (20310011414), we get a palindrome (434420024434).

The spelling of 414110013020 in words is "four hundred fourteen billion, one hundred ten million, thirteen thousand, twenty".