40123272057257 has 2 divisors, whose sum is σ = 40123272057258. Its totient is φ = 40123272057256.

The previous prime is 40123272057229. The next prime is 40123272057263. The reversal of 40123272057257 is 75275027232104.

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., 38056264888576 + 2067007168681 = 6168976^2 + 1437709^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40123272057257 is a prime.

It is not a weakly prime, because it can be changed into another prime (40123272057227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20061636028628 + 20061636028629.

It is an arithmetic number, because the mean of its divisors is an integer number (20061636028629).

Almost surely, 2^{40123272057257} is an apocalyptic number.

It is an amenable number.

40123272057257 is a deficient number, since it is larger than the sum of its proper divisors (1).

40123272057257 is an equidigital number, since it uses as much as digits as its factorization.

40123272057257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1646400, while the sum is 47.

The spelling of 40123272057257 in words is "forty trillion, one hundred twenty-three billion, two hundred seventy-two million, fifty-seven thousand, two hundred fifty-seven".