34120414440201 has 8 divisors (see below), whose sum is σ = 46117089837280. Its totient is φ = 22435341001632.

The previous prime is 34120414440197. The next prime is 34120414440257. The reversal of 34120414440201 is 10204441402143.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34120414440201 - 2² = 34120414440197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34120414440401) 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, 77900489371 + ... + 77900489808.

It is an arithmetic number, because the mean of its divisors is an integer number (5764636229660).

Almost surely, 2^{34120414440201} is an apocalyptic number.

It is an amenable number.

34120414440201 is a deficient number, since it is larger than the sum of its proper divisors (11996675397079).

34120414440201 is a wasteful number, since it uses less digits than its factorization.

34120414440201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155800979255.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 34120414440201 its reverse (10204441402143), we get a palindrome (44324855842344).

The spelling of 34120414440201 in words is "thirty-four trillion, one hundred twenty billion, four hundred fourteen million, four hundred forty thousand, two hundred one".