21141241000 has 96 divisors (see below), whose sum is σ = 54376980840. Its totient is φ = 7687680000.

The previous prime is 21141240997. The next prime is 21141241007. The reversal of 21141241000 is 14214112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2697971364 + 18443269636 = 51942^2 + 135806^2 .

It is not an unprimeable number, because it can be changed into a prime (21141241007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33640 + ... + 208360.

Almost surely, 2^21141241000 is an apocalyptic number.

21141241000 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 21141241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27188490420).

21141241000 is an abundant number, since it is smaller than the sum of its proper divisors (33235739840).

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

21141241000 is a wasteful number, since it uses less digits than its factorization.

21141241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174764 (or 174739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21141241000 its reverse (14214112), we get a palindrome (21155455112).

The spelling of 21141241000 in words is "twenty-one billion, one hundred forty-one million, two hundred forty-one thousand".