4097511141361 has 27 divisors (see below), whose sum is σ = 4582975980793. Its totient is φ = 3660700309640.

The previous prime is 4097511141349. The next prime is 4097511141389. The reversal of 4097511141361 is 1631411157904.

The square root of 4097511141361 is 2024231.

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

It is not a de Polignac number, because 4097511141361 - 2²³ = 4097502752753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4097511141161) 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 in 26 ways as a sum of consecutive naturals, for example, 1313724360 + ... + 1313727478.

Almost surely, 2^{4097511141361} is an apocalyptic number.

4097511141361 is the 2024231-st square number.

4097511141361 is the 1012116-th centered octagonal number.

It is an amenable number.

4097511141361 is a deficient number, since it is larger than the sum of its proper divisors (485464839432).

4097511141361 is an frugal number, since it uses more digits than its factorization.

4097511141361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

It can be divided in two parts, 40975 and 11141361, that added together give a square (11182336 = 3344²).

The spelling of 4097511141361 in words is "four trillion, ninety-seven billion, five hundred eleven million, one hundred forty-one thousand, three hundred sixty-one".