34134044400401 has 8 divisors (see below), whose sum is σ = 37253350579104. Its totient is φ = 31017440093920.

The previous prime is 34134044400371. The next prime is 34134044400457. The reversal of 34134044400401 is 10400444043143.

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 34134044400401 - 2³⁸ = 33859166493457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34134044400101) 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, 675441635 + ... + 675492168.

It is an arithmetic number, because the mean of its divisors is an integer number (4656668822388).

Almost surely, 2^{34134044400401} is an apocalyptic number.

It is an amenable number.

34134044400401 is a deficient number, since it is larger than the sum of its proper divisors (3119306178703).

34134044400401 is a wasteful number, since it uses less digits than its factorization.

34134044400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350936111.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34134044400401 its reverse (10400444043143), we get a palindrome (44534488443544).

The spelling of 34134044400401 in words is "thirty-four trillion, one hundred thirty-four billion, forty-four million, four hundred thousand, four hundred one".