34214104104401 has 8 divisors (see below), whose sum is σ = 36846003699624. Its totient is φ = 31582210999680.

The previous prime is 34214104104317. The next prime is 34214104104409. The reversal of 34214104104401 is 10440140141243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 585714702400 + 33628389402001 = 765320^2 + 5798999^2 .

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 34214104104401 - 2⁴² = 29816057593297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34214104104409) 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, 19847741 + ... + 21502581.

It is an arithmetic number, because the mean of its divisors is an integer number (4605750462453).

Almost surely, 2^{34214104104401} is an apocalyptic number.

It is an amenable number.

34214104104401 is a deficient number, since it is larger than the sum of its proper divisors (2631899595223).

34214104104401 is a wasteful number, since it uses less digits than its factorization.

34214104104401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245251.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 34214104104401 its reverse (10440140141243), we get a palindrome (44654244245644).

The spelling of 34214104104401 in words is "thirty-four trillion, two hundred fourteen billion, one hundred four million, one hundred four thousand, four hundred one".