34014422401101 has 16 divisors (see below), whose sum is σ = 50391827104320. Its totient is φ = 22676241004560.

The previous prime is 34014422401093. The next prime is 34014422401151. The reversal of 34014422401101 is 10110422441043.

34014422401101 is a `hidden beast` number, since 3 + 401 + 4 + 4 + 2 + 240 + 1 + 10 + 1 = 666.

It is not a de Polignac number, because 34014422401101 - 2³ = 34014422401093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014422401151) 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, 26889631 + ... + 28126163.

It is an arithmetic number, because the mean of its divisors is an integer number (3149489194020).

Almost surely, 2^{34014422401101} is an apocalyptic number.

It is an amenable number.

34014422401101 is a deficient number, since it is larger than the sum of its proper divisors (16377404703219).

34014422401101 is a wasteful number, since it uses less digits than its factorization.

34014422401101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255353 (or 2255347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 34014422401101 its reverse (10110422441043), we get a palindrome (44124844842144).

The spelling of 34014422401101 in words is "thirty-four trillion, fourteen billion, four hundred twenty-two million, four hundred one thousand, one hundred one".