34041140404101 has 96 divisors (see below), whose sum is σ = 52158388568832. Its totient is φ = 21349548380160.

The previous prime is 34041140404091. The next prime is 34041140404109. The reversal of 34041140404101 is 10140404114043.

34041140404101 is a `hidden beast` number, since 3 + 40 + 4 + 114 + 0 + 404 + 101 = 666.

It is not a de Polignac number, because 34041140404101 - 2⁵ = 34041140404069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041140404109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14225297761 + ... + 14225300153.

It is an arithmetic number, because the mean of its divisors is an integer number (543316547592).

Almost surely, 2^{34041140404101} is an apocalyptic number.

It is an amenable number.

34041140404101 is a deficient number, since it is larger than the sum of its proper divisors (18117248164731).

34041140404101 is a wasteful number, since it uses less digits than its factorization.

34041140404101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4760 counting only the distinct ones).

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

Adding to 34041140404101 its reverse (10140404114043), we get a palindrome (44181544518144).

The spelling of 34041140404101 in words is "thirty-four trillion, forty-one billion, one hundred forty million, four hundred four thousand, one hundred one".