21140214421300 has 288 divisors, whose sum is σ = 50088192588000. Its totient is φ = 7698344509440.

The previous prime is 21140214421273. The next prime is 21140214421357. The reversal of 21140214421300 is 312441204112.

It can be written as a sum of positive squares in 48 ways, for example, as 7668701254564 + 13471513166736 = 2769242^2 + 3670356^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22561594432 + ... + 22561595368.

It is an arithmetic number, because the mean of its divisors is an integer number (173917335375).

Almost surely, 2^{21140214421300} is an apocalyptic number.

21140214421300 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 21140214421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25044096294000).

21140214421300 is an abundant number, since it is smaller than the sum of its proper divisors (28947978166700).

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

21140214421300 is a wasteful number, since it uses less digits than its factorization.

21140214421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 21140214421300 its reverse (312441204112), we get a palindrome (21452655625412).

The spelling of 21140214421300 in words is "twenty-one trillion, one hundred forty billion, two hundred fourteen million, four hundred twenty-one thousand, three hundred".