21444123132040 has 384 divisors, whose sum is σ = 57109991103360. Its totient is φ = 7224825839616.

The previous prime is 21444123132031. The next prime is 21444123132049. The reversal of 21444123132040 is 4023132144412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21444123132031) and next prime (21444123132049).

It is a junction number, because it is equal to n+sod(n) for n = 21444123131993 and 21444123132011.

It is not an unprimeable number, because it can be changed into a prime (21444123132049) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21168926574 + ... + 21168927586.

It is an arithmetic number, because the mean of its divisors is an integer number (148723935165).

Almost surely, 2^{21444123132040} is an apocalyptic number.

21444123132040 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 21444123132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28554995551680).

21444123132040 is an abundant number, since it is smaller than the sum of its proper divisors (35665867971320).

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

21444123132040 is a wasteful number, since it uses less digits than its factorization.

21444123132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 21444123132040 its reverse (4023132144412), we get a palindrome (25467255276452).

The spelling of 21444123132040 in words is "twenty-one trillion, four hundred forty-four billion, one hundred twenty-three million, one hundred thirty-two thousand, forty".