4406417407 has 16 divisors (see below), whose sum is σ = 5271588864. Its totient is φ = 3603600000.

The previous prime is 4406417387. The next prime is 4406417413. The reversal of 4406417407 is 7047146044.

It is not a de Polignac number, because 4406417407 - 2¹⁹ = 4405893119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406417437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127594 + ... + 158407.

It is an arithmetic number, because the mean of its divisors is an integer number (329474304).

Almost surely, 2^4406417407 is an apocalyptic number.

4406417407 is a deficient number, since it is larger than the sum of its proper divisors (865171457).

4406417407 is a wasteful number, since it uses less digits than its factorization.

4406417407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286110.

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 4406417407 is about 66380.8512072571. The cubic root of 4406417407 is about 1639.4388084587.

The spelling of 4406417407 in words is "four billion, four hundred six million, four hundred seventeen thousand, four hundred seven".