214020404021020 has 96 divisors (see below), whose sum is σ = 480562056576000. Its totient is φ = 79826685120000.

The previous prime is 214020404020981. The next prime is 214020404021119. The reversal of 214020404021020 is 20120404020412.

It is a junction number, because it is equal to n+sod(n) for n = 214020404020982 and 214020404021000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9539520 + ... + 22782520.

It is an arithmetic number, because the mean of its divisors is an integer number (5005854756000).

Almost surely, 2^{214020404021020} is an apocalyptic number.

214020404021020 is a gapful number since it is divisible by the number (20) 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 214020404021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240281028288000).

214020404021020 is an abundant number, since it is smaller than the sum of its proper divisors (266541652554980).

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

214020404021020 is a wasteful number, since it uses less digits than its factorization.

214020404021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13243699 (or 13243697 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 214020404021020 its reverse (20120404020412), we get a palindrome (234140808041432).

The spelling of 214020404021020 in words is "two hundred fourteen trillion, twenty billion, four hundred four million, twenty-one thousand, twenty".