4130826417 has 10 divisors (see below), whose sum is σ = 6170740818. Its totient is φ = 2753884224.

The previous prime is 4130826407. The next prime is 4130826431. The reversal of 4130826417 is 7146280314.

4130826417 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 8 + 2 + 641 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3794067216 + 336759201 = 61596^2 + 18351^2 .

It is not a de Polignac number, because 4130826417 - 2¹⁵ = 4130793649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4130826407) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25498848 + ... + 25499009.

Almost surely, 2^4130826417 is an apocalyptic number.

It is an amenable number.

4130826417 is a deficient number, since it is larger than the sum of its proper divisors (2039914401).

4130826417 is an equidigital number, since it uses as much as digits as its factorization.

4130826417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50997869 (or 50997860 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4130826417 is about 64271.5054826009. The cubic root of 4130826417 is about 1604.5218979486.

The spelling of 4130826417 in words is "four billion, one hundred thirty million, eight hundred twenty-six thousand, four hundred seventeen".