413111100002420 has 48 divisors (see below), whose sum is σ = 872744461435728. Its totient is φ = 164252269962240.

The previous prime is 413111100002401. The next prime is 413111100002519. The reversal of 413111100002420 is 24200001111314.

It can be written as a sum of positive squares in 8 ways, for example, as 2729559971044 + 410381540031376 = 1652138^2 + 20257876^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413111100002392 and 413111100002401.

It is a congruent number.

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, 1923362 + ... + 28808358.

It is an arithmetic number, because the mean of its divisors is an integer number (18182176279911).

Almost surely, 2^{413111100002420} is an apocalyptic number.

It is an amenable number.

413111100002420 is an abundant number, since it is smaller than the sum of its proper divisors (459633361433308).

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

413111100002420 is a wasteful number, since it uses less digits than its factorization.

413111100002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26889620 (or 26889618 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 413111100002420 its reverse (24200001111314), we get a palindrome (437311101113734).

The spelling of 413111100002420 in words is "four hundred thirteen trillion, one hundred eleven billion, one hundred million, two thousand, four hundred twenty".