21441196800 has 432 divisors, whose sum is σ = 79199930880. Its totient is φ = 5675765760.

The previous prime is 21441196793. The next prime is 21441196813. The reversal of 21441196800 is 869114412.

21441196800 is a `hidden beast` number, since 21 + 441 + 196 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28857229 + ... + 28857971.

Almost surely, 2^21441196800 is an apocalyptic number.

21441196800 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 21441196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39599965440).

21441196800 is an abundant number, since it is smaller than the sum of its proper divisors (57758734080).

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

21441196800 is a wasteful number, since it uses less digits than its factorization.

21441196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21441196800 in words is "twenty-one billion, four hundred forty-one million, one hundred ninety-six thousand, eight hundred".