23441440011000 has 256 divisors, whose sum is σ = 79803864990720. Its totient is φ = 5681510720000.

The previous prime is 23441440010987. The next prime is 23441440011049. The reversal of 23441440011000 is 11004414432.

It is a super-2 number, since 2×23441440011000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152944405 + ... + 153097595.

It is an arithmetic number, because the mean of its divisors is an integer number (311733847620).

Almost surely, 2^{23441440011000} is an apocalyptic number.

23441440011000 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 23441440011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39901932495360).

23441440011000 is an abundant number, since it is smaller than the sum of its proper divisors (56362424979720).

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

23441440011000 is a wasteful number, since it uses less digits than its factorization.

23441440011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157863 (or 157849 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 23441440011000 its reverse (11004414432), we get a palindrome (23452444425432).

The spelling of 23441440011000 in words is "twenty-three trillion, four hundred forty-one billion, four hundred forty million, eleven thousand".