23141200313440 has 192 divisors, whose sum is σ = 61221393934848. Its totient is φ = 8192868249600.

The previous prime is 23141200313431. The next prime is 23141200313443. The reversal of 23141200313440 is 4431300214132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23141200313399 and 23141200313408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23141200313443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34812667 + ... + 35471173.

It is an arithmetic number, because the mean of its divisors is an integer number (318861426744).

Almost surely, 2^{23141200313440} is an apocalyptic number.

23141200313440 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 23141200313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610696967424).

23141200313440 is an abundant number, since it is smaller than the sum of its proper divisors (38080193621408).

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

23141200313440 is a wasteful number, since it uses less digits than its factorization.

23141200313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659061 (or 659053 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 23141200313440 its reverse (4431300214132), we get a palindrome (27572500527572).

The spelling of 23141200313440 in words is "twenty-three trillion, one hundred forty-one billion, two hundred million, three hundred thirteen thousand, four hundred forty".