23442114142400 has 168 divisors, whose sum is σ = 59549114791296. Its totient is φ = 9073430323200.

The previous prime is 23442114142387. The next prime is 23442114142409. The reversal of 23442114142400 is 424141124432.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (23442114142409) by changing a digit.

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, 661497482 + ... + 661532918.

Almost surely, 2^{23442114142400} is an apocalyptic number.

23442114142400 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 23442114142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29774557395648).

23442114142400 is an abundant number, since it is smaller than the sum of its proper divisors (36107000648896).

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

23442114142400 is a wasteful number, since it uses less digits than its factorization.

23442114142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48827 (or 48812 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 23442114142400 its reverse (424141124432), we get a palindrome (23866255266832).

The spelling of 23442114142400 in words is "twenty-three trillion, four hundred forty-two billion, one hundred fourteen million, one hundred forty-two thousand, four hundred".