420314132420 has 192 divisors, whose sum is σ = 1105640126976. Its totient is φ = 130671636480.

The previous prime is 420314132419. The next prime is 420314132453. The reversal of 420314132420 is 24231413024.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 420314132420.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45479000 + ... + 45488240.

It is an arithmetic number, because the mean of its divisors is an integer number (5758542328).

Almost surely, 2^420314132420 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 420314132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552820063488).

420314132420 is an abundant number, since it is smaller than the sum of its proper divisors (685325994556).

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

420314132420 is a wasteful number, since it uses less digits than its factorization.

420314132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9710 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 420314132420 its reverse (24231413024), we get a palindrome (444545545444).

The spelling of 420314132420 in words is "four hundred twenty billion, three hundred fourteen million, one hundred thirty-two thousand, four hundred twenty".