21444042144 has 96 divisors (see below), whose sum is σ = 64539611136. Its totient is φ = 6107109120.

The previous prime is 21444042133. The next prime is 21444042161. The reversal of 21444042144 is 44124044412.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 157689 + ... + 260295.

It is an arithmetic number, because the mean of its divisors is an integer number (672287616).

Almost surely, 2^21444042144 is an apocalyptic number.

21444042144 is a gapful number since it is divisible by the number (24) 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 21444042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32269805568).

21444042144 is an abundant number, since it is smaller than the sum of its proper divisors (43095568992).

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

21444042144 is a wasteful number, since it uses less digits than its factorization.

21444042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102938 (or 102930 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 21444042144 its reverse (44124044412), we get a palindrome (65568086556).

The spelling of 21444042144 in words is "twenty-one billion, four hundred forty-four million, forty-two thousand, one hundred forty-four".