21114401280 has 320 divisors, whose sum is σ = 77957510400. Its totient is φ = 4775215104.

The previous prime is 21114401267. The next prime is 21114401293. The reversal of 21114401280 is 8210441112.

It is an interprime number because it is at equal distance from previous prime (21114401267) and next prime (21114401293).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21114401280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5212696 + ... + 5216744.

It is an arithmetic number, because the mean of its divisors is an integer number (243617220).

Almost surely, 2^21114401280 is an apocalyptic number.

21114401280 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 21114401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38978755200).

21114401280 is an abundant number, since it is smaller than the sum of its proper divisors (56843109120).

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

21114401280 is an equidigital number, since it uses as much as digits as its factorization.

21114401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 21114401280 its reverse (8210441112), we get a palindrome (29324842392).

The spelling of 21114401280 in words is "twenty-one billion, one hundred fourteen million, four hundred one thousand, two hundred eighty".