104344414042401 has 24 divisors (see below), whose sum is σ = 162315879747840. Its totient is φ = 64211018701536.

The previous prime is 104344414042361. The next prime is 104344414042441. The reversal of 104344414042401 is 104240414443401.

104344414042401 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 4 + 4 + 1 + 404 + 240 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (104344414042361) and next prime (104344414042441).

It is not a de Polignac number, because 104344414042401 - 2¹⁹ = 104344413518113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104344414042441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723600 + ... + 14548526.

It is an arithmetic number, because the mean of its divisors is an integer number (6763161656160).

Almost surely, 2^{104344414042401} is an apocalyptic number.

It is an amenable number.

104344414042401 is a deficient number, since it is larger than the sum of its proper divisors (57971465705439).

104344414042401 is a wasteful number, since it uses less digits than its factorization.

104344414042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12894485 (or 12894482 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 104344414042401 its reverse (104240414443401), we get a palindrome (208584828485802).

The spelling of 104344414042401 in words is "one hundred four trillion, three hundred forty-four billion, four hundred fourteen million, forty-two thousand, four hundred one".