21414044033200 has 360 divisors, whose sum is σ = 64482844604640. Its totient is φ = 6773779353600.

The previous prime is 21414044033177. The next prime is 21414044033203. The reversal of 21414044033200 is 233044041412.

It is a super-2 number, since 2×21414044033200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21414044033203) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 532257085 + ... + 532297315.

Almost surely, 2^{21414044033200} is an apocalyptic number.

21414044033200 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 21414044033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32241422302320).

21414044033200 is an abundant number, since it is smaller than the sum of its proper divisors (43068800571440).

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

21414044033200 is a wasteful number, since it uses less digits than its factorization.

21414044033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42365 (or 42347 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21414044033200 its reverse (233044041412), we get a palindrome (21647088074612).

The spelling of 21414044033200 in words is "twenty-one trillion, four hundred fourteen billion, forty-four million, thirty-three thousand, two hundred".