34400114241 has 8 divisors (see below), whose sum is σ = 46339673184. Its totient is φ = 22696982400.

The previous prime is 34400114237. The next prime is 34400114263. The reversal of 34400114241 is 14241100443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34400114241 - 2² = 34400114237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34400114201) 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, 59106435 + ... + 59107016.

It is an arithmetic number, because the mean of its divisors is an integer number (5792459148).

Almost surely, 2^34400114241 is an apocalyptic number.

It is an amenable number.

34400114241 is a deficient number, since it is larger than the sum of its proper divisors (11939558943).

34400114241 is a wasteful number, since it uses less digits than its factorization.

34400114241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118213551.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34400114241 its reverse (14241100443), we get a palindrome (48641214684).

The spelling of 34400114241 in words is "thirty-four billion, four hundred million, one hundred fourteen thousand, two hundred forty-one".