9406540958977 has 2 divisors, whose sum is σ = 9406540958978. Its totient is φ = 9406540958976.

The previous prime is 9406540958963. The next prime is 9406540958987. The reversal of 9406540958977 is 7798590456049.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4875811599376 + 4530729359601 = 2208124^2 + 2128551^2 .

It is a cyclic number.

It is not a de Polignac number, because 9406540958977 - 2¹¹ = 9406540956929 is a prime.

It is not a weakly prime, because it can be changed into another prime (9406540958987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4703270479488 + 4703270479489.

It is an arithmetic number, because the mean of its divisors is an integer number (4703270479489).

Almost surely, 2^{9406540958977} is an apocalyptic number.

It is an amenable number.

9406540958977 is a deficient number, since it is larger than the sum of its proper divisors (1).

9406540958977 is an equidigital number, since it uses as much as digits as its factorization.

9406540958977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 685843200, while the sum is 73.

The spelling of 9406540958977 in words is "nine trillion, four hundred six billion, five hundred forty million, nine hundred fifty-eight thousand, nine hundred seventy-seven".