23240121414400 has 216 divisors, whose sum is σ = 62854112173104. Its totient is φ = 8437240627200.

The previous prime is 23240121414313. The next prime is 23240121414403. The reversal of 23240121414400 is 441412104232.

It is not an unprimeable number, because it can be changed into a prime (23240121414403) 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, 43169284 + ... + 43704316.

Almost surely, 2^{23240121414400} is an apocalyptic number.

23240121414400 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 23240121414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31427056086552).

23240121414400 is an abundant number, since it is smaller than the sum of its proper divisors (39613990758704).

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

23240121414400 is a wasteful number, since it uses less digits than its factorization.

23240121414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535687 (or 535668 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 23240121414400 its reverse (441412104232), we get a palindrome (23681533518632).

The spelling of 23240121414400 in words is "twenty-three trillion, two hundred forty billion, one hundred twenty-one million, four hundred fourteen thousand, four hundred".