4200124304657 has 2 divisors, whose sum is σ = 4200124304658. Its totient is φ = 4200124304656.

The previous prime is 4200124304653. The next prime is 4200124304671. The reversal of 4200124304657 is 7564034210024.

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., 3731507387521 + 468616917136 = 1931711^2 + 684556^2 .

It is a cyclic number.

It is not a de Polignac number, because 4200124304657 - 2² = 4200124304653 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4200124304657.

It is not a weakly prime, because it can be changed into another prime (4200124304653) 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 as a sum of consecutive naturals, namely, 2100062152328 + 2100062152329.

It is an arithmetic number, because the mean of its divisors is an integer number (2100062152329).

Almost surely, 2^{4200124304657} is an apocalyptic number.

It is an amenable number.

4200124304657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4200124304657 is an equidigital number, since it uses as much as digits as its factorization.

4200124304657 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 4200124304657 in words is "four trillion, two hundred billion, one hundred twenty-four million, three hundred four thousand, six hundred fifty-seven".