407672412201601 has 2 divisors, whose sum is σ = 407672412201602. Its totient is φ = 407672412201600.

The previous prime is 407672412201577. The next prime is 407672412201629. The reversal of 407672412201601 is 106102214276704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 404271342250000 + 3401069951601 = 20106500^2 + 1844199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407672412201601 is a prime.

It is not a weakly prime, because it can be changed into another prime (407672412201641) 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, 203836206100800 + 203836206100801.

It is an arithmetic number, because the mean of its divisors is an integer number (203836206100801).

Almost surely, 2^{407672412201601} is an apocalyptic number.

It is an amenable number.

407672412201601 is a deficient number, since it is larger than the sum of its proper divisors (1).

407672412201601 is an equidigital number, since it uses as much as digits as its factorization.

407672412201601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 407672412201601 in words is "four hundred seven trillion, six hundred seventy-two billion, four hundred twelve million, two hundred one thousand, six hundred one".