23114443310400 has 1344 divisors, whose sum is σ = 85382985139200. Its totient is φ = 5438587207680.

The previous prime is 23114443310389. The next prime is 23114443310407. The reversal of 23114443310400 is 401334441132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23114443310407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20473377036 + ... + 20473378164.

It is an arithmetic number, because the mean of its divisors is an integer number (63529006800).

Almost surely, 2^{23114443310400} is an apocalyptic number.

23114443310400 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 23114443310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42691492569600).

23114443310400 is an abundant number, since it is smaller than the sum of its proper divisors (62268541828800).

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

23114443310400 is a wasteful number, since it uses less digits than its factorization.

23114443310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 23114443310400 its reverse (401334441132), we get a palindrome (23515777751532).

The spelling of 23114443310400 in words is "twenty-three trillion, one hundred fourteen billion, four hundred forty-three million, three hundred ten thousand, four hundred".