23144030400 has 168 divisors, whose sum is σ = 76006903104. Its totient is φ = 6165632000.

The previous prime is 23144030381. The next prime is 23144030417. The reversal of 23144030400 is 403044132.

It is a super-2 number, since 2×23144030400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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, 6963139 + ... + 6966461.

Almost surely, 2^23144030400 is an apocalyptic number.

23144030400 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 23144030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38003451552).

23144030400 is an abundant number, since it is smaller than the sum of its proper divisors (52862872704).

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

23144030400 is a wasteful number, since it uses less digits than its factorization.

23144030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23144030400 its reverse (403044132), we get a palindrome (23547074532).

The spelling of 23144030400 in words is "twenty-three billion, one hundred forty-four million, thirty thousand, four hundred".