34054306601441 has 12 divisors (see below), whose sum is σ = 39626172473328. Its totient is φ = 29180578968072.

The previous prime is 34054306601401. The next prime is 34054306601531. The reversal of 34054306601441 is 14410660345043.

It is not a de Polignac number, because 34054306601441 - 2³⁰ = 34053232859617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34054306601401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104915951 + ... + 105240036.

It is an arithmetic number, because the mean of its divisors is an integer number (3302181039444).

Almost surely, 2^{34054306601441} is an apocalyptic number.

It is an amenable number.

34054306601441 is a deficient number, since it is larger than the sum of its proper divisors (5571865871887).

34054306601441 is a wasteful number, since it uses less digits than its factorization.

34054306601441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210159308 (or 210159301 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

Adding to 34054306601441 its reverse (14410660345043), we get a palindrome (48464966946484).

The spelling of 34054306601441 in words is "thirty-four trillion, fifty-four billion, three hundred six million, six hundred one thousand, four hundred forty-one".