14258442240 has 624 divisors, whose sum is σ = 58022160768. Its totient is φ = 3170893824.

The previous prime is 14258442239. The next prime is 14258442241. The reversal of 14258442240 is 4224485241.

14258442240 is a `hidden beast` number, since 1 + 425 + 8 + 4 + 4 + 224 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14258442239) and next prime (14258442241).

It is a super-2 number, since 2×14258442240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14258442195 and 14258442204.

It is not an unprimeable number, because it can be changed into a prime (14258442241) 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, 55480192 + ... + 55480448.

It is an arithmetic number, because the mean of its divisors is an integer number (92984232).

Almost surely, 2^14258442240 is an apocalyptic number.

14258442240 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 14258442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29011080384).

14258442240 is an abundant number, since it is smaller than the sum of its proper divisors (43763718528).

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

14258442240 is a wasteful number, since it uses less digits than its factorization.

14258442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 14258442240 in words is "fourteen billion, two hundred fifty-eight million, four hundred forty-two thousand, two hundred forty".