34400312144441 has 8 divisors (see below), whose sum is σ = 34486257495360. Its totient is φ = 34314401270448.

The previous prime is 34400312144381. The next prime is 34400312144477. The reversal of 34400312144441 is 14444121300443.

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 34400312144441 - 2²² = 34400307950137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34400312144941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6620606 + ... + 10612871.

It is an arithmetic number, because the mean of its divisors is an integer number (4310782186920).

Almost surely, 2^{34400312144441} is an apocalyptic number.

It is an amenable number.

34400312144441 is a deficient number, since it is larger than the sum of its proper divisors (85945350919).

34400312144441 is a wasteful number, since it uses less digits than its factorization.

34400312144441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17238463.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 34400312144441 its reverse (14444121300443), we get a palindrome (48844433444884).

The spelling of 34400312144441 in words is "thirty-four trillion, four hundred billion, three hundred twelve million, one hundred forty-four thousand, four hundred forty-one".