13400120617 has 8 divisors (see below), whose sum is σ = 14593045320. Its totient is φ = 12230359680.

The previous prime is 13400120609. The next prime is 13400120641. The reversal of 13400120617 is 71602100431.

It can be written as a sum of positive squares in 4 ways, for example, as 476068761 + 12924051856 = 21819^2 + 113684^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13400120617 - 2³ = 13400120609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13400120591 and 13400120600.

It is not an unprimeable number, because it can be changed into a prime (13400120017) 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, 5789734 + ... + 5792047.

It is an arithmetic number, because the mean of its divisors is an integer number (1824130665).

Almost surely, 2^13400120617 is an apocalyptic number.

It is an amenable number.

13400120617 is a deficient number, since it is larger than the sum of its proper divisors (1192924703).

13400120617 is a wasteful number, since it uses less digits than its factorization.

13400120617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11581883.

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 13400120617 in words is "thirteen billion, four hundred million, one hundred twenty thousand, six hundred seventeen".