10243405440000 has 660 divisors, whose sum is σ = 37429695663360. Its totient is φ = 2696878080000.

The previous prime is 10243405439963. The next prime is 10243405440097. The reversal of 10243405440000 is 4450434201.

It is a happy number.

10243405440000 is a `hidden beast` number, since 10 + 243 + 4 + 0 + 5 + 4 + 400 + 0 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 455028745 + ... + 455051255.

It is an arithmetic number, because the mean of its divisors is an integer number (56711660096).

Almost surely, 2^{10243405440000} is an apocalyptic number.

10243405440000 is a gapful number since it is divisible by the number (10) 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 10243405440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714847831680).

10243405440000 is an abundant number, since it is smaller than the sum of its proper divisors (27186290223360).

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

10243405440000 is an equidigital number, since it uses as much as digits as its factorization.

10243405440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22636 (or 22600 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10243405440000 its reverse (4450434201), we get a palindrome (10247855874201).

The spelling of 10243405440000 in words is "ten trillion, two hundred forty-three billion, four hundred five million, four hundred forty thousand".