34014401441 has 8 divisors (see below), whose sum is σ = 34149102120. Its totient is φ = 33879762432.

The previous prime is 34014401429. The next prime is 34014401497. The reversal of 34014401441 is 14410441043.

It can be written as a sum of positive squares in 4 ways, for example, as 55651600 + 33958749841 = 7460^2 + 184279^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 34014401441 - 2¹⁸ = 34014139297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34014401441.

It is not an unprimeable number, because it can be changed into a prime (34014481441) 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, 1314161 + ... + 1339793.

It is an arithmetic number, because the mean of its divisors is an integer number (4268637765).

Almost surely, 2^34014401441 is an apocalyptic number.

It is an amenable number.

34014401441 is a deficient number, since it is larger than the sum of its proper divisors (134700679).

34014401441 is a wasteful number, since it uses less digits than its factorization.

34014401441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30835.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 34014401441 its reverse (14410441043), we get a palindrome (48424842484).

The spelling of 34014401441 in words is "thirty-four billion, fourteen million, four hundred one thousand, four hundred forty-one".