413004013420 has 24 divisors (see below), whose sum is σ = 888462294048. Its totient is φ = 161172297600.

The previous prime is 413004013399. The next prime is 413004013439. The reversal of 413004013420 is 24310400314.

It is a junction number, because it is equal to n+sod(n) for n = 413004013391 and 413004013400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251830896 + ... + 251832535.

It is an arithmetic number, because the mean of its divisors is an integer number (37019262252).

Almost surely, 2^413004013420 is an apocalyptic number.

It is an amenable number.

413004013420 is an abundant number, since it is smaller than the sum of its proper divisors (475458280628).

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

413004013420 is a wasteful number, since it uses less digits than its factorization.

413004013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503663481 (or 503663479 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 413004013420 its reverse (24310400314), we get a palindrome (437314413734).

The spelling of 413004013420 in words is "four hundred thirteen billion, four million, thirteen thousand, four hundred twenty".