14656033040 has 120 divisors (see below), whose sum is σ = 39426434880. Its totient is φ = 5048904960.

The previous prime is 14656033039. The next prime is 14656033069. The reversal of 14656033040 is 4033065641.

It is a junction number, because it is equal to n+sod(n) for n = 14656032988 and 14656033006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144077 + ... + 223763.

It is an arithmetic number, because the mean of its divisors is an integer number (328553624).

Almost surely, 2^14656033040 is an apocalyptic number.

14656033040 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 14656033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713217440).

14656033040 is an abundant number, since it is smaller than the sum of its proper divisors (24770401840).

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

14656033040 is a wasteful number, since it uses less digits than its factorization.

14656033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79741 (or 79724 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 14656033040 its reverse (4033065641), we get a palindrome (18689098681).

The spelling of 14656033040 in words is "fourteen billion, six hundred fifty-six million, thirty-three thousand, forty".