13735442340 has 72 divisors (see below), whose sum is σ = 42053618880. Its totient is φ = 3628547904.

The previous prime is 13735442339. The next prime is 13735442341. The reversal of 13735442340 is 4324453731.

13735442340 is a `hidden beast` number, since 1 + 3 + 73 + 544 + 2 + 3 + 40 = 666.

13735442340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13735442339) and next prime (13735442341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13735442295 and 13735442304.

It is not an unprimeable number, because it can be changed into a prime (13735442341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 337320 + ... + 375839.

It is an arithmetic number, because the mean of its divisors is an integer number (584078040).

Almost surely, 2^13735442340 is an apocalyptic number.

13735442340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13735442340 is an abundant number, since it is smaller than the sum of its proper divisors (28318176540).

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

13735442340 is a wasteful number, since it uses less digits than its factorization.

13735442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713281 (or 713276 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 13735442340 in words is "thirteen billion, seven hundred thirty-five million, four hundred forty-two thousand, three hundred forty".