4093126226401 has 8 divisors (see below), whose sum is σ = 4303682749800. Its totient is φ = 3887197319040.

The previous prime is 4093126226383. The next prime is 4093126226429. The reversal of 4093126226401 is 1046226213904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11009045776 + 4082117180625 = 104924^2 + 2020425^2 .

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 4093126226401 - 2¹¹ = 4093126224353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4093126226471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1156902196 + ... + 1156905733.

It is an arithmetic number, because the mean of its divisors is an integer number (537960343725).

Almost surely, 2^{4093126226401} is an apocalyptic number.

It is an amenable number.

4093126226401 is a deficient number, since it is larger than the sum of its proper divisors (210556523399).

4093126226401 is a wasteful number, since it uses less digits than its factorization.

4093126226401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313808019.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 4093126226401 in words is "four trillion, ninety-three billion, one hundred twenty-six million, two hundred twenty-six thousand, four hundred one".