10040335727337 has 24 divisors (see below), whose sum is σ = 15356439653256. Its totient is φ = 6299559184896.

The previous prime is 10040335727299. The next prime is 10040335727407. The reversal of 10040335727337 is 73372753304001.

10040335727337 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 3 + 3 + 572 + 73 + 3 + 7 = 666.

10040335727337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3884036873616 + 6156298853721 = 1970796^2 + 2481189^2 .

It is not a de Polignac number, because 10040335727337 - 2¹² = 10040335723241 is a prime.

It is a super-2 number, since 2×10040335727337² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10040335727292 and 10040335727301.

It is not an unprimeable number, because it can be changed into a prime (10040335722337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2412783 + ... + 5089419.

It is an arithmetic number, because the mean of its divisors is an integer number (639851652219).

Almost surely, 2^{10040335727337} is an apocalyptic number.

10040335727337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10040335727337 is a deficient number, since it is larger than the sum of its proper divisors (5316103925919).

10040335727337 is a wasteful number, since it uses less digits than its factorization.

10040335727337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701177 (or 2701174 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 45.

The spelling of 10040335727337 in words is "ten trillion, forty billion, three hundred thirty-five million, seven hundred twenty-seven thousand, three hundred thirty-seven".