23211100013440 has 192 divisors, whose sum is σ = 59253803769600. Its totient is φ = 8692533002240.

The previous prime is 23211100013357. The next prime is 23211100013441. The reversal of 23211100013440 is 4431000111232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211100013441) 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 23 ways as a sum of consecutive naturals, for example, 34998846 + ... + 35655874.

It is an arithmetic number, because the mean of its divisors is an integer number (308613561300).

Almost surely, 2^{23211100013440} is an apocalyptic number.

23211100013440 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 23211100013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626901884800).

23211100013440 is an abundant number, since it is smaller than the sum of its proper divisors (36042703756160).

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

23211100013440 is a wasteful number, since it uses less digits than its factorization.

23211100013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657273 (or 657244 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 23211100013440 its reverse (4431000111232), we get a palindrome (27642100124672).

The spelling of 23211100013440 in words is "twenty-three trillion, two hundred eleven billion, one hundred million, thirteen thousand, four hundred forty".