4000750906697 has 2 divisors, whose sum is σ = 4000750906698. Its totient is φ = 4000750906696.

The previous prime is 4000750906679. The next prime is 4000750906709. The reversal of 4000750906697 is 7966090570004.

Together with previous prime (4000750906679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3531828627856 + 468922278841 = 1879316^2 + 684779^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000750906697 - 2¹⁴ = 4000750890313 is a prime.

It is not a weakly prime, because it can be changed into another prime (4000750936697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000375453348 + 2000375453349.

It is an arithmetic number, because the mean of its divisors is an integer number (2000375453349).

Almost surely, 2^{4000750906697} is an apocalyptic number.

It is an amenable number.

4000750906697 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000750906697 is an equidigital number, since it uses as much as digits as its factorization.

4000750906697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2857680, while the sum is 53.

The spelling of 4000750906697 in words is "four trillion, seven hundred fifty million, nine hundred six thousand, six hundred ninety-seven".