14296606240 has 288 divisors, whose sum is σ = 41546977920. Its totient is φ = 4541349888.

The previous prime is 14296606199. The next prime is 14296606243. The reversal of 14296606240 is 4260669241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14296606193 and 14296606202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14296606243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 74075584 + ... + 74075776.

It is an arithmetic number, because the mean of its divisors is an integer number (144260340).

Almost surely, 2^14296606240 is an apocalyptic number.

14296606240 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 14296606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773488960).

14296606240 is an abundant number, since it is smaller than the sum of its proper divisors (27250371680).

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

14296606240 is a wasteful number, since it uses less digits than its factorization.

14296606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 14296606240 in words is "fourteen billion, two hundred ninety-six million, six hundred six thousand, two hundred forty".