21241200140440 has 128 divisors (see below), whose sum is σ = 55885489920000. Its totient is φ = 7114568670720.

The previous prime is 21241200140431. The next prime is 21241200140477. The reversal of 21241200140440 is 4404100214212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5627811 + ... + 8611309.

It is an arithmetic number, because the mean of its divisors is an integer number (436605390000).

Almost surely, 2^{21241200140440} is an apocalyptic number.

21241200140440 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 21241200140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27942744960000).

21241200140440 is an abundant number, since it is smaller than the sum of its proper divisors (34644289779560).

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

21241200140440 is a wasteful number, since it uses less digits than its factorization.

21241200140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984105 (or 2984101 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 21241200140440 its reverse (4404100214212), we get a palindrome (25645300354652).

The spelling of 21241200140440 in words is "twenty-one trillion, two hundred forty-one billion, two hundred million, one hundred forty thousand, four hundred forty".