34400312144405 has 8 divisors (see below), whose sum is σ = 42396060372792. Its totient is φ = 26776459182528.

The previous prime is 34400312144381. The next prime is 34400312144477. The reversal of 34400312144405 is 50444121300443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1336685134801 + 33063627009604 = 1156151^2 + 5750098^2 .

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 34400312144405 - 2¹² = 34400312140309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92973816422 + ... + 92973816791.

It is an arithmetic number, because the mean of its divisors is an integer number (5299507546599).

Almost surely, 2^{34400312144405} is an apocalyptic number.

It is an amenable number.

34400312144405 is a deficient number, since it is larger than the sum of its proper divisors (7995748228387).

34400312144405 is a wasteful number, since it uses less digits than its factorization.

34400312144405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185947633255.

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 34400312144405 its reverse (50444121300443), we get a palindrome (84844433444848).

The spelling of 34400312144405 in words is "thirty-four trillion, four hundred billion, three hundred twelve million, one hundred forty-four thousand, four hundred five".