21415041200 has 120 divisors (see below), whose sum is σ = 59796648960. Its totient is φ = 7217798400.

The previous prime is 21415041199. The next prime is 21415041247. The reversal of 21415041200 is 214051412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100385 + ... + 230015.

It is an arithmetic number, because the mean of its divisors is an integer number (498305408).

Almost surely, 2^21415041200 is an apocalyptic number.

21415041200 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 21415041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29898324480).

21415041200 is an abundant number, since it is smaller than the sum of its proper divisors (38381607760).

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

21415041200 is a wasteful number, since it uses less digits than its factorization.

21415041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129715 (or 129704 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 21415041200 its reverse (214051412), we get a palindrome (21629092612).

The spelling of 21415041200 in words is "twenty-one billion, four hundred fifteen million, forty-one thousand, two hundred".