10233401440000 has 270 divisors, whose sum is σ = 26133538665696. Its totient is φ = 3998050560000.

The previous prime is 10233401439971. The next prime is 10233401440019. The reversal of 10233401440000 is 4410433201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 295822705 + ... + 295857295.

Almost surely, 2^{10233401440000} is an apocalyptic number.

10233401440000 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 10233401440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13066769332848).

10233401440000 is an abundant number, since it is smaller than the sum of its proper divisors (15900137225696).

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

10233401440000 is an frugal number, since it uses more digits than its factorization.

10233401440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34713 (or 34641 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10233401440000 its reverse (4410433201), we get a palindrome (10237811873201).

The spelling of 10233401440000 in words is "ten trillion, two hundred thirty-three billion, four hundred one million, four hundred forty thousand".