407246727921689 has 2 divisors, whose sum is σ = 407246727921690. Its totient is φ = 407246727921688.

The previous prime is 407246727921611. The next prime is 407246727921713. The reversal of 407246727921689 is 986129727642704.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280876147609600 + 126370580312089 = 16759360^2 + 11241467^2 .

It is a cyclic number.

It is not a de Polignac number, because 407246727921689 - 2²⁰ = 407246726873113 is a prime.

It is a super-2 number, since 2×407246727921689² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (407246727920689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203623363960844 + 203623363960845.

It is an arithmetic number, because the mean of its divisors is an integer number (203623363960845).

Almost surely, 2^{407246727921689} is an apocalyptic number.

It is an amenable number.

407246727921689 is a deficient number, since it is larger than the sum of its proper divisors (1).

407246727921689 is an equidigital number, since it uses as much as digits as its factorization.

407246727921689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024192512, while the sum is 74.

The spelling of 407246727921689 in words is "four hundred seven trillion, two hundred forty-six billion, seven hundred twenty-seven million, nine hundred twenty-one thousand, six hundred eighty-nine".