814021400020 has 48 divisors (see below), whose sum is σ = 1833367011840. Its totient is φ = 302651047296.

The previous prime is 814021399987. The next prime is 814021400029. The reversal of 814021400020 is 20004120418.

It is a junction number, because it is equal to n+sod(n) for n = 814021399964 and 814021400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814021400029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20188932 + ... + 20229211.

It is an arithmetic number, because the mean of its divisors is an integer number (38195146080).

Almost surely, 2^814021400020 is an apocalyptic number.

It is an amenable number.

814021400020 is an abundant number, since it is smaller than the sum of its proper divisors (1019345611820).

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

814021400020 is a wasteful number, since it uses less digits than its factorization.

814021400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40418224 (or 40418222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 814021400020 its reverse (20004120418), we get a palindrome (834025520438).

The spelling of 814021400020 in words is "eight hundred fourteen billion, twenty-one million, four hundred thousand, twenty".