34401414144133 has 8 divisors (see below), whose sum is σ = 34742279801376. Its totient is φ = 34060553538000.

The previous prime is 34401414144109. The next prime is 34401414144199. The reversal of 34401414144133 is 33144141410443.

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 34401414144133 - 2⁵ = 34401414144101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34401414144092 and 34401414144101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401414144103) 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, 13248018 + ... + 15630508.

It is an arithmetic number, because the mean of its divisors is an integer number (4342784975172).

Almost surely, 2^{34401414144133} is an apocalyptic number.

It is an amenable number.

34401414144133 is a deficient number, since it is larger than the sum of its proper divisors (340865657243).

34401414144133 is a wasteful number, since it uses less digits than its factorization.

34401414144133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525555.

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 34401414144133 its reverse (33144141410443), we get a palindrome (67545555554576).

The spelling of 34401414144133 in words is "thirty-four trillion, four hundred one billion, four hundred fourteen million, one hundred forty-four thousand, one hundred thirty-three".