10643103341440 has 256 divisors, whose sum is σ = 27657950515200. Its totient is φ = 3901495541760.

The previous prime is 10643103341417. The next prime is 10643103341447. The reversal of 10643103341440 is 4414330134601.

It is a happy number.

It is a super-2 number, since 2×10643103341440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10643103341396 and 10643103341405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10643103341447) 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 31 ways as a sum of consecutive naturals, for example, 1365722184 + ... + 1365729976.

It is an arithmetic number, because the mean of its divisors is an integer number (108038869200).

Almost surely, 2^{10643103341440} is an apocalyptic number.

10643103341440 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 10643103341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828975257600).

10643103341440 is an abundant number, since it is smaller than the sum of its proper divisors (17014847173760).

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

10643103341440 is a wasteful number, since it uses less digits than its factorization.

10643103341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485 (or 11473 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 10643103341440 in words is "ten trillion, six hundred forty-three billion, one hundred three million, three hundred forty-one thousand, four hundred forty".