23140314312400 has 240 divisors, whose sum is σ = 59505438283200. Its totient is φ = 8622484992000.

The previous prime is 23140314312347. The next prime is 23140314312407. The reversal of 23140314312400 is 421341304132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23140314312407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 122333895 + ... + 122522905.

It is an arithmetic number, because the mean of its divisors is an integer number (247939326180).

Almost surely, 2^{23140314312400} is an apocalyptic number.

23140314312400 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 23140314312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29752719141600).

23140314312400 is an abundant number, since it is smaller than the sum of its proper divisors (36365123970800).

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

23140314312400 is a wasteful number, since it uses less digits than its factorization.

23140314312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189318 (or 189307 counting only the distinct ones).

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

Adding to 23140314312400 its reverse (421341304132), we get a palindrome (23561655616532).

The spelling of 23140314312400 in words is "twenty-three trillion, one hundred forty billion, three hundred fourteen million, three hundred twelve thousand, four hundred".