21305201214400 has 168 divisors, whose sum is σ = 52915191492240. Its totient is φ = 8442280304640.

The previous prime is 21305201214373. The next prime is 21305201214449. The reversal of 21305201214400 is 441210250312.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374787452 + ... + 1374802948.

It is an arithmetic number, because the mean of its divisors is an integer number (314971377930).

Almost surely, 2^{21305201214400} is an apocalyptic number.

21305201214400 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 21305201214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26457595746120).

21305201214400 is an abundant number, since it is smaller than the sum of its proper divisors (31609990277840).

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

21305201214400 is a wasteful number, since it uses less digits than its factorization.

21305201214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23511 (or 23496 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21305201214400 its reverse (441210250312), we get a palindrome (21746411464712).

The spelling of 21305201214400 in words is "twenty-one trillion, three hundred five billion, two hundred one million, two hundred fourteen thousand, four hundred".