420413130131220 has 144 divisors (see below), whose sum is σ = 1284584936740560. Its totient is φ = 111289821954048.

The previous prime is 420413130131081. The next prime is 420413130131263. The reversal of 420413130131220 is 22131031314024.

420413130131220 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 131 + 301 + 3 + 1 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14896157078916 + 405516973052304 = 3859554^2 + 20137452^2 .

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, 1762404916 + ... + 1762643444.

It is an arithmetic number, because the mean of its divisors is an integer number (8920728727365).

Almost surely, 2^{420413130131220} 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 420413130131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642292468370280).

420413130131220 is an abundant number, since it is smaller than the sum of its proper divisors (864171806609340).

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

420413130131220 is a wasteful number, since it uses less digits than its factorization.

420413130131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310154 (or 310149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 420413130131220 its reverse (22131031314024), we get a palindrome (442544161445244).

The spelling of 420413130131220 in words is "four hundred twenty trillion, four hundred thirteen billion, one hundred thirty million, one hundred thirty-one thousand, two hundred twenty".