420405314413 has 16 divisors (see below), whose sum is σ = 503897898240. Its totient is φ = 342930462336.

The previous prime is 420405314401. The next prime is 420405314419. The reversal of 420405314413 is 314413504024.

It is not a de Polignac number, because 420405314413 - 2⁹ = 420405313901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420405314419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6595728 + ... + 6659161.

It is an arithmetic number, because the mean of its divisors is an integer number (31493618640).

Almost surely, 2^420405314413 is an apocalyptic number.

It is an amenable number.

420405314413 is a deficient number, since it is larger than the sum of its proper divisors (83492583827).

420405314413 is a wasteful number, since it uses less digits than its factorization.

420405314413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255116.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 420405314413 its reverse (314413504024), we get a palindrome (734818818437).

The spelling of 420405314413 in words is "four hundred twenty billion, four hundred five million, three hundred fourteen thousand, four hundred thirteen".