416432617001 has 2 divisors, whose sum is σ = 416432617002. Its totient is φ = 416432617000.

The previous prime is 416432616949. The next prime is 416432617031. The reversal of 416432617001 is 100716234614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 415540101376 + 892515625 = 644624^2 + 29875^2 .

It is a cyclic number.

It is not a de Polignac number, because 416432617001 - 2⁶ = 416432616937 is a prime.

It is a super-2 number, since 2×416432617001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (416432617031) 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 as a sum of consecutive naturals, namely, 208216308500 + 208216308501.

It is an arithmetic number, because the mean of its divisors is an integer number (208216308501).

Almost surely, 2^416432617001 is an apocalyptic number.

It is an amenable number.

416432617001 is a deficient number, since it is larger than the sum of its proper divisors (1).

416432617001 is an equidigital number, since it uses as much as digits as its factorization.

416432617001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 416432617001 in words is "four hundred sixteen billion, four hundred thirty-two million, six hundred seventeen thousand, one".