4001261240857 has 2 divisors, whose sum is σ = 4001261240858. Its totient is φ = 4001261240856.

The previous prime is 4001261240677. The next prime is 4001261240881. The reversal of 4001261240857 is 7580421621004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3052232620096 + 949028620761 = 1747064^2 + 974181^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001261240857 - 2³⁹ = 3451505426969 is a prime.

It is not a weakly prime, because it can be changed into another prime (4001261240887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000630620428 + 2000630620429.

It is an arithmetic number, because the mean of its divisors is an integer number (2000630620429).

Almost surely, 2^{4001261240857} is an apocalyptic number.

It is an amenable number.

4001261240857 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001261240857 is an equidigital number, since it uses as much as digits as its factorization.

4001261240857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 4001261240857 in words is "four trillion, one billion, two hundred sixty-one million, two hundred forty thousand, eight hundred fifty-seven".