13445144040340 has 24 divisors (see below), whose sum is σ = 28891425800160. Its totient is φ = 5252986508448.

The previous prime is 13445144040337. The next prime is 13445144040343. The reversal of 13445144040340 is 4304044154431.

It is an interprime number because it is at equal distance from previous prime (13445144040337) and next prime (13445144040343).

It is a super-3 number, since 3×13445144040340³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13445144040340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13445144040343) 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 7 ways as a sum of consecutive naturals, for example, 7816943350 + ... + 7816945069.

It is an arithmetic number, because the mean of its divisors is an integer number (1203809408340).

Almost surely, 2^{13445144040340} is an apocalyptic number.

13445144040340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13445144040340 is an abundant number, since it is smaller than the sum of its proper divisors (15446281759820).

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

13445144040340 is a wasteful number, since it uses less digits than its factorization.

13445144040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15633888471 (or 15633888469 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 13445144040340 its reverse (4304044154431), we get a palindrome (17749188194771).

The spelling of 13445144040340 in words is "thirteen trillion, four hundred forty-five billion, one hundred forty-four million, forty thousand, three hundred forty".