340104114144 has 96 divisors (see below), whose sum is σ = 1004217086880. Its totient is φ = 113368014720.

The previous prime is 340104114047. The next prime is 340104114169. The reversal of 340104114144 is 441411401043.

340104114144 is a `hidden beast` number, since 3 + 401 + 0 + 4 + 114 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2359887 + ... + 2499854.

It is an arithmetic number, because the mean of its divisors is an integer number (10460594655).

Almost surely, 2^340104114144 is an apocalyptic number.

It is an amenable number.

340104114144 is an abundant number, since it is smaller than the sum of its proper divisors (664112972736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340104114144 is an frugal number, since it uses more digits than its factorization.

340104114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859772 (or 4859746 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 340104114144 its reverse (441411401043), we get a palindrome (781515515187).

The spelling of 340104114144 in words is "three hundred forty billion, one hundred four million, one hundred fourteen thousand, one hundred forty-four".