34401003114211 has 16 divisors (see below), whose sum is σ = 36504982886400. Its totient is φ = 32305971835008.

The previous prime is 34401003114199. The next prime is 34401003114229. The reversal of 34401003114211 is 11241130010443.

It is a cyclic number.

It is not a de Polignac number, because 34401003114211 - 2¹⁹ = 34401002589923 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34401003114241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69285706 + ... + 69780448.

It is an arithmetic number, because the mean of its divisors is an integer number (2281561430400).

Almost surely, 2^{34401003114211} is an apocalyptic number.

34401003114211 is a deficient number, since it is larger than the sum of its proper divisors (2103979772189).

34401003114211 is a wasteful number, since it uses less digits than its factorization.

34401003114211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503778.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 34401003114211 its reverse (11241130010443), we get a palindrome (45642133124654).

The spelling of 34401003114211 in words is "thirty-four trillion, four hundred one billion, three million, one hundred fourteen thousand, two hundred eleven".