21441312333400 has 96 divisors (see below), whose sum is σ = 51145146813600. Its totient is φ = 8354525619200.

The previous prime is 21441312333379. The next prime is 21441312333431. The reversal of 21441312333400 is 433321314412.

It is a congruent number.

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, 3352461 + ... + 7356739.

It is an arithmetic number, because the mean of its divisors is an integer number (532761945975).

Almost surely, 2^{21441312333400} is an apocalyptic number.

21441312333400 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 21441312333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25572573406800).

21441312333400 is an abundant number, since it is smaller than the sum of its proper divisors (29703834480200).

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

21441312333400 is a wasteful number, since it uses less digits than its factorization.

21441312333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004989 (or 4004980 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 21441312333400 its reverse (433321314412), we get a palindrome (21874633647812).

The spelling of 21441312333400 in words is "twenty-one trillion, four hundred forty-one billion, three hundred twelve million, three hundred thirty-three thousand, four hundred".