34400005110011 has 8 divisors (see below), whose sum is σ = 35590616114400. Its totient is φ = 33209687701120.

The previous prime is 34400005109941. The next prime is 34400005110013. The reversal of 34400005110011 is 11001150000443.

It is a happy number.

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 34400005110011 - 2³⁰ = 34398931368187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34400005110013) 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, 73160471 + ... + 73629168.

It is an arithmetic number, because the mean of its divisors is an integer number (4448827014300).

Almost surely, 2^{34400005110011} is an apocalyptic number.

34400005110011 is a deficient number, since it is larger than the sum of its proper divisors (1190611004389).

34400005110011 is a wasteful number, since it uses less digits than its factorization.

34400005110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146797749.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 34400005110011 its reverse (11001150000443), we get a palindrome (45401155110454).

The spelling of 34400005110011 in words is "thirty-four trillion, four hundred billion, five million, one hundred ten thousand, eleven".