420103301024 has 96 divisors (see below), whose sum is σ = 911998688832. Its totient is φ = 188899840000.

The previous prime is 420103301017. The next prime is 420103301069.

420103301024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420103300987 and 420103301005.

It is an unprimeable number.

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, 46461944 + ... + 46470984.

It is an arithmetic number, because the mean of its divisors is an integer number (9499986342).

Almost surely, 2^420103301024 is an apocalyptic number.

420103301024 is a gapful number since it is divisible by the number (44) 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 420103301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455999344416).

420103301024 is an abundant number, since it is smaller than the sum of its proper divisors (491895387808).

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

420103301024 is a wasteful number, since it uses less digits than its factorization.

420103301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10470 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 420103 and 301024, that added together give a palindrome (721127).

The spelling of 420103301024 in words is "four hundred twenty billion, one hundred three million, three hundred one thousand, twenty-four".