6417411121 has 16 divisors (see below), whose sum is σ = 7146292608. Its totient is φ = 5713603200.

The previous prime is 6417411113. The next prime is 6417411149. The reversal of 6417411121 is 1211147146.

It is a cyclic number.

It is not a de Polignac number, because 6417411121 - 2³ = 6417411113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6417411121.

It is not an unprimeable number, because it can be changed into a prime (6417411151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135820 + ... + 176866.

It is an arithmetic number, because the mean of its divisors is an integer number (446643288).

Almost surely, 2^6417411121 is an apocalyptic number.

6417411121 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6417411121 is a deficient number, since it is larger than the sum of its proper divisors (728881487).

6417411121 is a wasteful number, since it uses less digits than its factorization.

6417411121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41352.

The product of its digits is 1344, while the sum is 28.

The square root of 6417411121 is about 80108.7455962206. The cubic root of 6417411121 is about 1858.3176603145.

Adding to 6417411121 its reverse (1211147146), we get a palindrome (7628558267).

The spelling of 6417411121 in words is "six billion, four hundred seventeen million, four hundred eleven thousand, one hundred twenty-one".