3961540608001 has 2 divisors, whose sum is σ = 3961540608002. Its totient is φ = 3961540608000.

The previous prime is 3961540607993. The next prime is 3961540608127. The reversal of 3961540608001 is 1008060451693.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3610288805776 + 351251802225 = 1900076^2 + 592665^2 .

It is a cyclic number.

It is not a de Polignac number, because 3961540608001 - 2³ = 3961540607993 is a prime.

It is not a weakly prime, because it can be changed into another prime (3961540608601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1980770304000 + 1980770304001.

It is an arithmetic number, because the mean of its divisors is an integer number (1980770304001).

Almost surely, 2^{3961540608001} is an apocalyptic number.

It is an amenable number.

3961540608001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3961540608001 is an equidigital number, since it uses as much as digits as its factorization.

3961540608001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 3961540608001 in words is "three trillion, nine hundred sixty-one billion, five hundred forty million, six hundred eight thousand, one".