14334323040 has 144 divisors (see below), whose sum is σ = 49646299248. Its totient is φ = 3765408768.

The previous prime is 14334323039. The next prime is 14334323063. The reversal of 14334323040 is 4032343341.

14334323040 is a `hidden beast` number, since 1 + 4 + 334 + 323 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 14334322995 and 14334323013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22194 + ... + 170766.

It is an arithmetic number, because the mean of its divisors is an integer number (344765967).

Almost surely, 2^14334323040 is an apocalyptic number.

14334323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14334323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24823149624).

14334323040 is an abundant number, since it is smaller than the sum of its proper divisors (35311976208).

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

14334323040 is a wasteful number, since it uses less digits than its factorization.

14334323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148661 (or 148650 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 14334323040 its reverse (4032343341), we get a palindrome (18366666381).

The spelling of 14334323040 in words is "fourteen billion, three hundred thirty-four million, three hundred twenty-three thousand, forty".