35340420637601 has 16 divisors (see below), whose sum is σ = 35425472451600. Its totient is φ = 35255490969600.

The previous prime is 35340420637589. The next prime is 35340420637609. The reversal of 35340420637601 is 10673602404353.

It can be written as a sum of positive squares in 8 ways, for example, as 7323513027601 + 28016907610000 = 2706199^2 + 5293100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-35340420637601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35340420637609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4795819445 + ... + 4795826813.

It is an arithmetic number, because the mean of its divisors is an integer number (2214092028225).

Almost surely, 2^{35340420637601} is an apocalyptic number.

It is an amenable number.

35340420637601 is a deficient number, since it is larger than the sum of its proper divisors (85051813999).

35340420637601 is a wasteful number, since it uses less digits than its factorization.

35340420637601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14180.

The product of its (nonzero) digits is 1088640, while the sum is 44.

The spelling of 35340420637601 in words is "thirty-five trillion, three hundred forty billion, four hundred twenty million, six hundred thirty-seven thousand, six hundred one".