14250335040 has 168 divisors, whose sum is σ = 49102734408. Its totient is φ = 3793305600.

The previous prime is 14250334997. The next prime is 14250335041. The reversal of 14250335040 is 4053305241.

It can be written as a sum of positive squares in 4 ways, for example, as 1623767616 + 12626567424 = 40296^2 + 112368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14250334995 and 14250335013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250335041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726764 + ... + 1734996.

It is an arithmetic number, because the mean of its divisors is an integer number (292278181).

Almost surely, 2^14250335040 is an apocalyptic number.

14250335040 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 14250335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24551367204).

14250335040 is an abundant number, since it is smaller than the sum of its proper divisors (34852399368).

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

14250335040 is a wasteful number, since it uses less digits than its factorization.

14250335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 14250335040 in words is "fourteen billion, two hundred fifty million, three hundred thirty-five thousand, forty".