406266774417 has 32 divisors (see below), whose sum is σ = 689447816960. Its totient is φ = 231616247040.

The previous prime is 406266774413. The next prime is 406266774421. The reversal of 406266774417 is 714477662604.

406266774417 is a `hidden beast` number, since 4 + 0 + 626 + 6 + 7 + 7 + 4 + 4 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (406266774413) and next prime (406266774421).

It is not a de Polignac number, because 406266774417 - 2² = 406266774413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406266774413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2400334 + ... + 2564007.

It is an arithmetic number, because the mean of its divisors is an integer number (21545244280).

Almost surely, 2^406266774417 is an apocalyptic number.

It is an amenable number.

406266774417 is a deficient number, since it is larger than the sum of its proper divisors (283181042543).

406266774417 is a wasteful number, since it uses less digits than its factorization.

406266774417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964790 (or 4964784 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 406266774417 in words is "four hundred six billion, two hundred sixty-six million, seven hundred seventy-four thousand, four hundred seventeen".