4140561616569 has 45 divisors (see below), whose sum is σ = 7195348363797. Its totient is φ = 2365961955336.

The previous prime is 4140561616549. The next prime is 4140561616613. The reversal of 4140561616569 is 9656161650414.

It is a happy number.

The square root of 4140561616569 is 2034837.

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

4140561616569 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 5 + 61 + 6 + 16 + 569 = 666.

It is not a de Polignac number, because 4140561616569 - 2⁷ = 4140561616441 is a prime.

It is a super-4 number, since 4×4140561616569⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4140561616549) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 128178582 + ... + 128210880.

Almost surely, 2^{4140561616569} is an apocalyptic number.

4140561616569 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4140561616569 is the 2034837-th square number.

4140561616569 is the 1017419-th centered octagonal number.

It is an amenable number.

4140561616569 is a deficient number, since it is larger than the sum of its proper divisors (3054786747228).

4140561616569 is an frugal number, since it uses more digits than its factorization.

4140561616569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64624 (or 32309 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

It can be divided in two parts, 414056 and 1616569, that added together give a square (2030625 = 1425²).

The spelling of 4140561616569 in words is "four trillion, one hundred forty billion, five hundred sixty-one million, six hundred sixteen thousand, five hundred sixty-nine".