40320412004657 has 2 divisors, whose sum is σ = 40320412004658. Its totient is φ = 40320412004656.

The previous prime is 40320412004651. The next prime is 40320412004689. The reversal of 40320412004657 is 75640021402304.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21063840695296 + 19256571309361 = 4589536^2 + 4388231^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320412004657 - 2¹⁰ = 40320412003633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40320412004657.

It is not a weakly prime, because it can be changed into another prime (40320412004651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20160206002328 + 20160206002329.

It is an arithmetic number, because the mean of its divisors is an integer number (20160206002329).

Almost surely, 2^{40320412004657} is an apocalyptic number.

It is an amenable number.

40320412004657 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320412004657 is an equidigital number, since it uses as much as digits as its factorization.

40320412004657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 40320412004657 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, four thousand, six hundred fifty-seven".