34401114001 has 16 divisors (see below), whose sum is σ = 36553809600. Its totient is φ = 32332366080.

The previous prime is 34401113987. The next prime is 34401114017. The reversal of 34401114001 is 10041110443.

It is a cyclic number.

It is not a de Polignac number, because 34401114001 - 2²⁷ = 34266896273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34401114001.

It is not an unprimeable number, because it can be changed into a prime (34401114101) 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, 4951 + ... + 262348.

It is an arithmetic number, because the mean of its divisors is an integer number (2284613100).

Almost surely, 2^34401114001 is an apocalyptic number.

It is an amenable number.

34401114001 is a deficient number, since it is larger than the sum of its proper divisors (2152695599).

34401114001 is a wasteful number, since it uses less digits than its factorization.

34401114001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267456.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 34401114001 its reverse (10041110443), we get a palindrome (44442224444).

The spelling of 34401114001 in words is "thirty-four billion, four hundred one million, one hundred fourteen thousand, one".