23144210400 has 288 divisors, whose sum is σ = 77743024128. Its totient is φ = 5976115200.

The previous prime is 23144210389. The next prime is 23144210407. The reversal of 23144210400 is 401244132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144210407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23353905 + ... + 23354895.

It is an arithmetic number, because the mean of its divisors is an integer number (269941056).

Almost surely, 2^23144210400 is an apocalyptic number.

23144210400 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 23144210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38871512064).

23144210400 is an abundant number, since it is smaller than the sum of its proper divisors (54598813728).

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

23144210400 is a wasteful number, since it uses less digits than its factorization.

23144210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 23144210400 its reverse (401244132), we get a palindrome (23545454532).

The spelling of 23144210400 in words is "twenty-three billion, one hundred forty-four million, two hundred ten thousand, four hundred".