10343113440 has 192 divisors, whose sum is σ = 35780838912. Its totient is φ = 2490624000.

The previous prime is 10343113439. The next prime is 10343113477. The reversal of 10343113440 is 4431134301.

10343113440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10343113440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790794 + ... + 803766.

It is an arithmetic number, because the mean of its divisors is an integer number (186358536).

Almost surely, 2^10343113440 is an apocalyptic number.

10343113440 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 10343113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17890419456).

10343113440 is an abundant number, since it is smaller than the sum of its proper divisors (25437725472).

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

10343113440 is a wasteful number, since it uses less digits than its factorization.

10343113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13153 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10343113440 its reverse (4431134301), we get a palindrome (14774247741).

The spelling of 10343113440 in words is "ten billion, three hundred forty-three million, one hundred thirteen thousand, four hundred forty".