10414001440000 has 720 divisors, whose sum is σ = 28333417654080. Its totient is φ = 3803627520000.

The previous prime is 10414001439977. The next prime is 10414001440001. The reversal of 10414001440000 is 4410041401.

It is a self number, because there is not a number n which added to its sum of digits gives 10414001440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414001440001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 31462239835 + ... + 31462240165.

It is an arithmetic number, because the mean of its divisors is an integer number (39351968964).

Almost surely, 2^{10414001440000} is an apocalyptic number.

10414001440000 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 10414001440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166708827040).

10414001440000 is an abundant number, since it is smaller than the sum of its proper divisors (17919416214080).

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

10414001440000 is an equidigital number, since it uses as much as digits as its factorization.

10414001440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10414001440000 its reverse (4410041401), we get a palindrome (10418411481401).

The spelling of 10414001440000 in words is "ten trillion, four hundred fourteen billion, one million, four hundred forty thousand".