21114201420 has 384 divisors, whose sum is σ = 73145318400. Its totient is φ = 5023420416.

The previous prime is 21114201403. The next prime is 21114201481. The reversal of 21114201420 is 2410241112.

21114201420 is a `hidden beast` number, since 211 + 1 + 420 + 14 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21114201393 and 21114201402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34109871 + ... + 34110489.

It is an arithmetic number, because the mean of its divisors is an integer number (190482600).

Almost surely, 2^21114201420 is an apocalyptic number.

21114201420 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 21114201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36572659200).

21114201420 is an abundant number, since it is smaller than the sum of its proper divisors (52031116980).

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

21114201420 is a wasteful number, since it uses less digits than its factorization.

21114201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21114201420 its reverse (2410241112), we get a palindrome (23524442532).

The spelling of 21114201420 in words is "twenty-one billion, one hundred fourteen million, two hundred one thousand, four hundred twenty".