404626126401 has 60 divisors (see below), whose sum is σ = 693387998160. Its totient is φ = 227295316080.

The previous prime is 404626126397. The next prime is 404626126409. The reversal of 404626126401 is 104621626404.

404626126401 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 2 + 6 + 1 + 2 + 640 + 1 = 666.

It is not a de Polignac number, because 404626126401 - 2² = 404626126397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404626126409) 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 59 ways as a sum of consecutive naturals, for example, 1116246 + ... + 1433616.

It is an arithmetic number, because the mean of its divisors is an integer number (11556466636).

Almost surely, 2^404626126401 is an apocalyptic number.

It is an amenable number.

404626126401 is a deficient number, since it is larger than the sum of its proper divisors (288761871759).

404626126401 is an equidigital number, since it uses as much as digits as its factorization.

404626126401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317464 (or 317440 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 404626126401 in words is "four hundred four billion, six hundred twenty-six million, one hundred twenty-six thousand, four hundred one".