41142064267264 has 45 divisors (see below), whose sum is σ = 82283259442111. Its totient is φ = 20570621624320.

The previous prime is 41142064267261. The next prime is 41142064267267. The reversal of 41142064267264 is 46276246024114.

The square root of 41142064267264 is 6414208.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (41142064267261) and next prime (41142064267267).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41142064267261) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 820993569 + ... + 821043679.

Almost surely, 2^{41142064267264} is an apocalyptic number.

41142064267264 is the 6414208-th square number.

It is an amenable number.

41142064267264 is a deficient number, since it is larger than the sum of its proper divisors (41141195174847).

41142064267264 is an frugal number, since it uses more digits than its factorization.

41142064267264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100250 (or 50113 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

The spelling of 41142064267264 in words is "forty-one trillion, one hundred forty-two billion, sixty-four million, two hundred sixty-seven thousand, two hundred sixty-four".