24023143042400 has 144 divisors (see below), whose sum is σ = 61739367802560. Its totient is φ = 9102590784000.

The previous prime is 24023143042361. The next prime is 24023143042477. The reversal of 24023143042400 is 424034132042.

It is a super-2 number, since 2×24023143042400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161821007 + ... + 161969393.

It is an arithmetic number, because the mean of its divisors is an integer number (428745609740).

Almost surely, 2^{24023143042400} is an apocalyptic number.

24023143042400 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 24023143042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30869683901280).

24023143042400 is an abundant number, since it is smaller than the sum of its proper divisors (37716224760160).

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

24023143042400 is a wasteful number, since it uses less digits than its factorization.

24023143042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159077 (or 159064 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 24023143042400 its reverse (424034132042), we get a palindrome (24447177174442).

The spelling of 24023143042400 in words is "twenty-four trillion, twenty-three billion, one hundred forty-three million, forty-two thousand, four hundred".