2314421040000 has 640 divisors, whose sum is σ = 7927758305280. Its totient is φ = 597611520000.

The previous prime is 2314421039933. The next prime is 2314421040007. The reversal of 2314421040000 is 401244132.

2314421040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314421040007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2335439505 + ... + 2335440495.

It is an arithmetic number, because the mean of its divisors is an integer number (12387122352).

Almost surely, 2^{2314421040000} is an apocalyptic number.

2314421040000 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 2314421040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963879152640).

2314421040000 is an abundant number, since it is smaller than the sum of its proper divisors (5613337265280).

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

2314421040000 is an equidigital number, since it uses as much as digits as its factorization.

2314421040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2314421040000 its reverse (401244132), we get a palindrome (2314822284132).

The spelling of 2314421040000 in words is "two trillion, three hundred fourteen billion, four hundred twenty-one million, forty thousand".