420311202113024 has 320 divisors, whose sum is σ = 886772042956800. Its totient is φ = 198841982976000.

The previous prime is 420311202113017. The next prime is 420311202113041.

It is a happy number.

420311202113024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420311202112984 and 420311202113002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21271876457 + ... + 21271896215.

It is an arithmetic number, because the mean of its divisors is an integer number (2771162634240).

Almost surely, 2^{420311202113024} 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 420311202113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443386021478400).

420311202113024 is an abundant number, since it is smaller than the sum of its proper divisors (466460840843776).

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

420311202113024 is a wasteful number, since it uses less digits than its factorization.

420311202113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20125 (or 20109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 42031120 and 2113024, that added together give a palindrome (44144144).

The spelling of 420311202113024 in words is "four hundred twenty trillion, three hundred eleven billion, two hundred two million, one hundred thirteen thousand, twenty-four".