21741446469800 has 96 divisors (see below), whose sum is σ = 51073682116800. Its totient is φ = 8606300129280.

The previous prime is 21741446469781. The next prime is 21741446469803. The reversal of 21741446469800 is 896464414712.

It is not an unprimeable number, because it can be changed into a prime (21741446469803) by changing a digit.

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, 342552869 + ... + 342616331.

It is an arithmetic number, because the mean of its divisors is an integer number (532017522050).

Almost surely, 2^{21741446469800} is an apocalyptic number.

21741446469800 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 21741446469800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25536841058400).

21741446469800 is an abundant number, since it is smaller than the sum of its proper divisors (29332235647000).

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

21741446469800 is a wasteful number, since it uses less digits than its factorization.

21741446469800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81235 (or 81226 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 21741446469800 in words is "twenty-one trillion, seven hundred forty-one billion, four hundred forty-six million, four hundred sixty-nine thousand, eight hundred".