10344042124340 has 12 divisors (see below), whose sum is σ = 21722488461156. Its totient is φ = 4137616849728.

The previous prime is 10344042124291. The next prime is 10344042124343. The reversal of 10344042124340 is 4342124044301.

It can be written as a sum of positive squares in 2 ways, for example, as 1559006954404 + 8785035169936 = 1248602^2 + 2963956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10344042124297 and 10344042124306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344042124343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258601053089 + ... + 258601053128.

It is an arithmetic number, because the mean of its divisors is an integer number (1810207371763).

Almost surely, 2^{10344042124340} is an apocalyptic number.

10344042124340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344042124340 is an abundant number, since it is smaller than the sum of its proper divisors (11378446336816).

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

10344042124340 is a wasteful number, since it uses less digits than its factorization.

10344042124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517202106226 (or 517202106224 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10344042124340 its reverse (4342124044301), we get a palindrome (14686166168641).

The spelling of 10344042124340 in words is "ten trillion, three hundred forty-four billion, forty-two million, one hundred twenty-four thousand, three hundred forty".