34400334412411 has 32 divisors (see below), whose sum is σ = 41183464512960. Its totient is φ = 28375208755200.

The previous prime is 34400334412393. The next prime is 34400334412421. The reversal of 34400334412411 is 11421443300443.

It is a cyclic number.

It is not a de Polignac number, because 34400334412411 - 2²¹ = 34400332315259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34400334412421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22052550 + ... + 23560891.

It is an arithmetic number, because the mean of its divisors is an integer number (1286983266030).

Almost surely, 2^{34400334412411} is an apocalyptic number.

34400334412411 is a deficient number, since it is larger than the sum of its proper divisors (6783130100549).

34400334412411 is a wasteful number, since it uses less digits than its factorization.

34400334412411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45613615.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 34400334412411 its reverse (11421443300443), we get a palindrome (45821777712854).

The spelling of 34400334412411 in words is "thirty-four trillion, four hundred billion, three hundred thirty-four million, four hundred twelve thousand, four hundred eleven".