10420421420 has 48 divisors (see below), whose sum is σ = 22634434368. Its totient is φ = 4026992640.

The previous prime is 10420421393. The next prime is 10420421449. The reversal of 10420421420 is 2412402401.

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 = 10420421392 and 10420421401.

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, 22772 + ... + 146148.

It is an arithmetic number, because the mean of its divisors is an integer number (471550716).

Almost surely, 2^10420421420 is an apocalyptic number.

10420421420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317217184).

10420421420 is an abundant number, since it is smaller than the sum of its proper divisors (12214012948).

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

10420421420 is a wasteful number, since it uses less digits than its factorization.

10420421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123530 (or 123528 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10420421420 its reverse (2412402401), we get a palindrome (12832823821).

The spelling of 10420421420 in words is "ten billion, four hundred twenty million, four hundred twenty-one thousand, four hundred twenty".