104413314401 has 8 divisors (see below), whose sum is σ = 113919351264. Its totient is φ = 94909597120.

The previous prime is 104413314391. The next prime is 104413314463.

It is a happy number.

104413314401 is nontrivially palindromic in base 10.

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 104413314401 - 2²² = 104409120097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104413314301) 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, 485096 + ... + 666441.

It is an arithmetic number, because the mean of its divisors is an integer number (14239918908).

Almost surely, 2^104413314401 is an apocalyptic number.

104413314401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104413314401 is a deficient number, since it is larger than the sum of its proper divisors (9506036863).

104413314401 is a wasteful number, since it uses less digits than its factorization.

104413314401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159791.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 104413 and 314401, that added together give a palindrome (418814).

The spelling of 104413314401 in words is "one hundred four billion, four hundred thirteen million, three hundred fourteen thousand, four hundred one".