14245482240 has 432 divisors, whose sum is σ = 54487480320. Its totient is φ = 3407339520.

The previous prime is 14245482233. The next prime is 14245482247. The reversal of 14245482240 is 4228454241.

14245482240 is a `hidden beast` number, since 1 + 424 + 5 + 4 + 8 + 224 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14245482233) and next prime (14245482247).

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 = 14245482195 and 14245482204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14245482247) 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, 10010169 + ... + 10011591.

Almost surely, 2^14245482240 is an apocalyptic number.

14245482240 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 14245482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243740160).

14245482240 is an abundant number, since it is smaller than the sum of its proper divisors (40241998080).

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

14245482240 is a wasteful number, since it uses less digits than its factorization.

14245482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1523 counting only the distinct ones).

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

The spelling of 14245482240 in words is "fourteen billion, two hundred forty-five million, four hundred eighty-two thousand, two hundred forty".