21441314400 has 288 divisors, whose sum is σ = 76378111488. Its totient is φ = 5181388800.

The previous prime is 21441314399. The next prime is 21441314407. The reversal of 21441314400 is 441314412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21441314407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9687694 + ... + 9689906.

It is an arithmetic number, because the mean of its divisors is an integer number (265201776).

Almost surely, 2^21441314400 is an apocalyptic number.

21441314400 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 21441314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38189055744).

21441314400 is an abundant number, since it is smaller than the sum of its proper divisors (54936797088).

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

21441314400 is a wasteful number, since it uses less digits than its factorization.

21441314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21441314400 its reverse (441314412), we get a palindrome (21882628812).

The spelling of 21441314400 in words is "twenty-one billion, four hundred forty-one million, three hundred fourteen thousand, four hundred".