407433131377601 has 6 divisors (see below), whose sum is σ = 473952826296450. Its totient is φ = 349228398323616.

The previous prime is 407433131377567. The next prime is 407433131377603. The reversal of 407433131377601 is 106773131334704.

It can be written as a sum of positive squares in only one way, i.e., 393379622440000 + 14053508937601 = 19833800^2 + 3748801^2 .

It is a de Polignac number, because none of the positive numbers 2^k-407433131377601 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 407433131377601.

It is not an unprimeable number, because it can be changed into a prime (407433131377603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4157480932376 + ... + 4157480932473.

It is an arithmetic number, because the mean of its divisors is an integer number (78992137716075).

Almost surely, 2^{407433131377601} is an apocalyptic number.

It is an amenable number.

407433131377601 is a deficient number, since it is larger than the sum of its proper divisors (66519694918849).

407433131377601 is an equidigital number, since it uses as much as digits as its factorization.

407433131377601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314961864863 (or 8314961864856 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 50.

The spelling of 407433131377601 in words is "four hundred seven trillion, four hundred thirty-three billion, one hundred thirty-one million, three hundred seventy-seven thousand, six hundred one".