4100000041 has 8 divisors (see below), whose sum is σ = 4447059624. Its totient is φ = 3764705280.

The previous prime is 4100000029. The next prime is 4100000083. The reversal of 4100000041 is 1400000014.

It can be written as a sum of positive squares in 4 ways, for example, as 640090000 + 3459910041 = 25300^2 + 58821^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4100000041 - 2²¹ = 4097902889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4099999973 and 4100000027.

It is not an unprimeable number, because it can be changed into a prime (4100000941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940480 + ... + 2941873.

It is an arithmetic number, because the mean of its divisors is an integer number (555882453).

Almost surely, 2^4100000041 is an apocalyptic number.

4100000041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4100000041 is a deficient number, since it is larger than the sum of its proper divisors (347059583).

4100000041 is a wasteful number, since it uses less digits than its factorization.

4100000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882411.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4100000041 is about 64031.2426944847. The cubic root of 4100000041 is about 1600.5206692182.

Multiplying 4100000041 by its product of nonzero digits (16), we get a palindrome (65600000656).

Adding to 4100000041 its reverse (1400000014), we get a palindrome (5500000055).

It can be divided in two parts, 41000000 and 41, that multiplied together give a square (1681000000 = 41000²).

The spelling of 4100000041 in words is "four billion, one hundred million, forty-one", and thus it is an aban number.