4417375226401 has 8 divisors (see below), whose sum is σ = 4838504305320. Its totient is φ = 4014166533888.

The previous prime is 4417375226389. The next prime is 4417375226437. The reversal of 4417375226401 is 1046225737144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1931710819600 + 2485664406801 = 1389860^2 + 1576599^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 4417375226401 - 2⁹ = 4417375225889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4417375226501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4480096086 + ... + 4480097071.

It is an arithmetic number, because the mean of its divisors is an integer number (604813038165).

Almost surely, 2^{4417375226401} is an apocalyptic number.

It is an amenable number.

4417375226401 is a deficient number, since it is larger than the sum of its proper divisors (421129078919).

4417375226401 is a wasteful number, since it uses less digits than its factorization.

4417375226401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960193203.

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 4417375226401 in words is "four trillion, four hundred seventeen billion, three hundred seventy-five million, two hundred twenty-six thousand, four hundred one".