406978974630121 has 2 divisors, whose sum is σ = 406978974630122. Its totient is φ = 406978974630120.

The previous prime is 406978974630079. The next prime is 406978974630139. The reversal of 406978974630121 is 121036479879604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 355239150188521 + 51739824441600 = 18847789^2 + 7193040^2 .

It is a cyclic number.

It is not a de Polignac number, because 406978974630121 - 2¹⁵ = 406978974597353 is a prime.

It is not a weakly prime, because it can be changed into another prime (406978974630181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203489487315060 + 203489487315061.

It is an arithmetic number, because the mean of its divisors is an integer number (203489487315061).

Almost surely, 2^{406978974630121} is an apocalyptic number.

It is an amenable number.

406978974630121 is a deficient number, since it is larger than the sum of its proper divisors (1).

406978974630121 is an equidigital number, since it uses as much as digits as its factorization.

406978974630121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 109734912, while the sum is 67.

The spelling of 406978974630121 in words is "four hundred six trillion, nine hundred seventy-eight billion, nine hundred seventy-four million, six hundred thirty thousand, one hundred twenty-one".