407407407401 has 2 divisors, whose sum is σ = 407407407402. Its totient is φ = 407407407400.

The previous prime is 407407407373. The next prime is 407407407403. The reversal of 407407407401 is 104704704704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 333072111376 + 74335296025 = 577124^2 + 272645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407407407401 is a prime.

Together with 407407407403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (407407407403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203703703700 + 203703703701.

It is an arithmetic number, because the mean of its divisors is an integer number (203703703701).

Almost surely, 2^407407407401 is an apocalyptic number.

It is an amenable number.

407407407401 is a deficient number, since it is larger than the sum of its proper divisors (1).

407407407401 is an equidigital number, since it uses as much as digits as its factorization.

407407407401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 87808, while the sum is 38.

The spelling of 407407407401 in words is "four hundred seven billion, four hundred seven million, four hundred seven thousand, four hundred one".