10400343003257 has 2 divisors, whose sum is σ = 10400343003258. Its totient is φ = 10400343003256.

The previous prime is 10400343003199. The next prime is 10400343003269. The reversal of 10400343003257 is 75230034300401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10368264760441 + 32078242816 = 3219979^2 + 179104^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400343003257 - 2²² = 10400338808953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10400343003857) 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, 5200171501628 + 5200171501629.

It is an arithmetic number, because the mean of its divisors is an integer number (5200171501629).

Almost surely, 2^{10400343003257} is an apocalyptic number.

It is an amenable number.

10400343003257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400343003257 is an equidigital number, since it uses as much as digits as its factorization.

10400343003257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 32.

Adding to 10400343003257 its reverse (75230034300401), we get a palindrome (85630377303658).

The spelling of 10400343003257 in words is "ten trillion, four hundred billion, three hundred forty-three million, three thousand, two hundred fifty-seven".