10443140121440 has 192 divisors, whose sum is σ = 27977093625600. Its totient is φ = 3651819116544.

The previous prime is 10443140121439. The next prime is 10443140121461. The reversal of 10443140121440 is 4412104134401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128755139 + ... + 128836221.

It is an arithmetic number, because the mean of its divisors is an integer number (145714029300).

Almost surely, 2^{10443140121440} is an apocalyptic number.

10443140121440 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 10443140121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988546812800).

10443140121440 is an abundant number, since it is smaller than the sum of its proper divisors (17533953504160).

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

10443140121440 is a wasteful number, since it uses less digits than its factorization.

10443140121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84389 (or 84381 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10443140121440 its reverse (4412104134401), we get a palindrome (14855244255841).

The spelling of 10443140121440 in words is "ten trillion, four hundred forty-three billion, one hundred forty million, one hundred twenty-one thousand, four hundred forty".