10345303144000 has 448 divisors, whose sum is σ = 28337449121280. Its totient is φ = 3709977600000.

The previous prime is 10345303143977. The next prime is 10345303144003. The reversal of 10345303144000 is 44130354301.

It is a self number, because there is not a number n which added to its sum of digits gives 10345303144000.

It is not an unprimeable number, because it can be changed into a prime (10345303144003) 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 63 ways as a sum of consecutive naturals, for example, 2390869837 + ... + 2390874163.

Almost surely, 2^{10345303144000} is an apocalyptic number.

10345303144000 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 10345303144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14168724560640).

10345303144000 is an abundant number, since it is smaller than the sum of its proper divisors (17992145977280).

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

10345303144000 is a wasteful number, since it uses less digits than its factorization.

10345303144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 10345303144000 its reverse (44130354301), we get a palindrome (10389433498301).

The spelling of 10345303144000 in words is "ten trillion, three hundred forty-five billion, three hundred three million, one hundred forty-four thousand".