14247824640 has 576 divisors, whose sum is σ = 54103666176. Its totient is φ = 3128426496.

The previous prime is 14247824629. The next prime is 14247824653. The reversal of 14247824640 is 4642874241.

It is a super-2 number, since 2×14247824640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14247824592 and 14247824601.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 103998652 + ... + 103998788.

It is an arithmetic number, because the mean of its divisors is an integer number (93929976).

Almost surely, 2^14247824640 is an apocalyptic number.

14247824640 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 14247824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27051833088).

14247824640 is an abundant number, since it is smaller than the sum of its proper divisors (39855841536).

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

14247824640 is a wasteful number, since it uses less digits than its factorization.

14247824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 14247824640 in words is "fourteen billion, two hundred forty-seven million, eight hundred twenty-four thousand, six hundred forty".