14003311300420 has 72 divisors (see below), whose sum is σ = 31849338878280. Its totient is φ = 5169429457920.

The previous prime is 14003311300409. The next prime is 14003311300453. The reversal of 14003311300420 is 2400311330041.

14003311300420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13781334631684 + 221976668736 = 3712322^2 + 471144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14003311300391 and 14003311300400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16766086 + ... + 17581474.

It is an arithmetic number, because the mean of its divisors is an integer number (442351928865).

Almost surely, 2^{14003311300420} is an apocalyptic number.

14003311300420 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 14003311300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15924669439140).

14003311300420 is an abundant number, since it is smaller than the sum of its proper divisors (17846027577860).

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

14003311300420 is a wasteful number, since it uses less digits than its factorization.

14003311300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820505 (or 820490 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 14003311300420 its reverse (2400311330041), we get a palindrome (16403622630461).

The spelling of 14003311300420 in words is "fourteen trillion, three billion, three hundred eleven million, three hundred thousand, four hundred twenty".