6409414101 has 16 divisors (see below), whose sum is σ = 8621342720. Its totient is φ = 4235338800.

The previous prime is 6409414087. The next prime is 6409414181. The reversal of 6409414101 is 1014149046.

It is not a de Polignac number, because 6409414101 - 2²⁵ = 6375859669 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6409414181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194460 + ... + 225018.

It is an arithmetic number, because the mean of its divisors is an integer number (538833920).

Almost surely, 2^6409414101 is an apocalyptic number.

It is an amenable number.

6409414101 is a deficient number, since it is larger than the sum of its proper divisors (2211928619).

6409414101 is a wasteful number, since it uses less digits than its factorization.

6409414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31176.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6409414101 is about 80058.8165101134. The cubic root of 6409414101 is about 1857.5454288296.

The spelling of 6409414101 in words is "six billion, four hundred nine million, four hundred fourteen thousand, one hundred one".