4612061200041 has 45 divisors (see below), whose sum is σ = 7040715668679. Its totient is φ = 3008695429296.

The previous prime is 4612061200039. The next prime is 4612061200121. The reversal of 4612061200041 is 1400021602164.

The square root of 4612061200041 is 2147571.

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

4612061200041 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 0 + 612 + 0 + 0 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4482175923225 + 129885276816 = 2117115^2 + 360396^2 .

It is not a de Polignac number, because 4612061200041 - 2¹ = 4612061200039 is a prime.

It is a super-2 number, since 2×4612061200041² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4612061199978 and 4612061200014.

It is not an unprimeable number, because it can be changed into a prime (4612061202041) 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, 908419995 + ... + 908425071.

Almost surely, 2^{4612061200041} is an apocalyptic number.

4612061200041 is the 2147571-st square number.

4612061200041 is the 1073786-th centered octagonal number.

It is an amenable number.

4612061200041 is a deficient number, since it is larger than the sum of its proper divisors (2428654468638).

4612061200041 is an frugal number, since it uses more digits than its factorization.

4612061200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10260 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 4612061200041 in words is "four trillion, six hundred twelve billion, sixty-one million, two hundred thousand, forty-one".