10340135440 has 40 divisors (see below), whose sum is σ = 24690573720. Its totient is φ = 4024267776.

The previous prime is 10340135431. The next prime is 10340135441. The reversal of 10340135440 is 4453104301.

It can be written as a sum of positive squares in 4 ways, for example, as 2900037904 + 7440097536 = 53852^2 + 86256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10340135441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1743685 + ... + 1749604.

It is an arithmetic number, because the mean of its divisors is an integer number (617264343).

Almost surely, 2^10340135440 is an apocalyptic number.

10340135440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340135440 is an abundant number, since it is smaller than the sum of its proper divisors (14350438280).

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

10340135440 is a wasteful number, since it uses less digits than its factorization.

10340135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493339 (or 3493333 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10340135440 its reverse (4453104301), we get a palindrome (14793239741).

The spelling of 10340135440 in words is "ten billion, three hundred forty million, one hundred thirty-five thousand, four hundred forty".