21414412500 has 432 divisors, whose sum is σ = 70450490880. Its totient is φ = 5054400000.

The previous prime is 21414412489. The next prime is 21414412501. The reversal of 21414412500 is 521441412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21414412501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196462446 + ... + 196462554.

It is an arithmetic number, because the mean of its divisors is an integer number (163079840).

Almost surely, 2^21414412500 is an apocalyptic number.

21414412500 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 21414412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35225245440).

21414412500 is an abundant number, since it is smaller than the sum of its proper divisors (49036078380).

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

21414412500 is a wasteful number, since it uses less digits than its factorization.

21414412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 21414412500 its reverse (521441412), we get a palindrome (21935853912).

The spelling of 21414412500 in words is "twenty-one billion, four hundred fourteen million, four hundred twelve thousand, five hundred".