10400343003857 has 2 divisors, whose sum is σ = 10400343003858. Its totient is φ = 10400343003856.

The previous prime is 10400343003829. The next prime is 10400343003887. The reversal of 10400343003857 is 75830034300401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9451591030336 + 948751973521 = 3074344^2 + 974039^2 .

It is an emirp because it is prime and its reverse (75830034300401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400343003857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10400343003857.

It is not a weakly prime, because it can be changed into another prime (10400343003887) 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 as a sum of consecutive naturals, namely, 5200171501928 + 5200171501929.

It is an arithmetic number, because the mean of its divisors is an integer number (5200171501929).

Almost surely, 2^{10400343003857} is an apocalyptic number.

It is an amenable number.

10400343003857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400343003857 is an equidigital number, since it uses as much as digits as its factorization.

10400343003857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 10400343003857 in words is "ten trillion, four hundred billion, three hundred forty-three million, three thousand, eight hundred fifty-seven".