10145422144000 has 960 divisors, whose sum is σ = 30166957941120. Its totient is φ = 3380416512000.

The previous prime is 10145422143949. The next prime is 10145422144009. The reversal of 10145422144000 is 44122454101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10145422144000.

It is not an unprimeable number, because it can be changed into a prime (10145422144009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18020287719 + ... + 18020288281.

It is an arithmetic number, because the mean of its divisors is an integer number (31423914522).

Almost surely, 2^{10145422144000} is an apocalyptic number.

10145422144000 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 10145422144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083478970560).

10145422144000 is an abundant number, since it is smaller than the sum of its proper divisors (20021535797120).

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

10145422144000 is a wasteful number, since it uses less digits than its factorization.

10145422144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 10145422144000 its reverse (44122454101), we get a palindrome (10189544598101).

The spelling of 10145422144000 in words is "ten trillion, one hundred forty-five billion, four hundred twenty-two million, one hundred forty-four thousand".