23241130224400 has 1080 divisors, whose sum is σ = 67200276797640. Its totient is φ = 7708117401600.

The previous prime is 23241130224379. The next prime is 23241130224413. The reversal of 23241130224400 is 442203114232.

It can be written as a sum of positive squares in 12 ways, for example, as 17023248853776 + 6217881370624 = 4125924^2 + 2493568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 83902997062 + ... + 83902997338.

Almost surely, 2^{23241130224400} is an apocalyptic number.

23241130224400 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 23241130224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600138398820).

23241130224400 is an abundant number, since it is smaller than the sum of its proper divisors (43959146573240).

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

23241130224400 is a wasteful number, since it uses less digits than its factorization.

23241130224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23241130224400 its reverse (442203114232), we get a palindrome (23683333338632).

The spelling of 23241130224400 in words is "twenty-three trillion, two hundred forty-one billion, one hundred thirty million, two hundred twenty-four thousand, four hundred".