14245640640 has 1792 divisors, whose sum is σ = 70225920000. Its totient is φ = 2682408960.

The previous prime is 14245640627. The next prime is 14245640653. The reversal of 14245640640 is 4604654241.

14245640640 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 5 + 6 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (14245640627) and next prime (14245640653).

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 = 14245640595 and 14245640604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 619375669 + ... + 619375691.

Almost surely, 2^14245640640 is an apocalyptic number.

14245640640 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 14245640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112960000).

14245640640 is an abundant number, since it is smaller than the sum of its proper divisors (55980279360).

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

14245640640 is a wasteful number, since it uses less digits than its factorization.

14245640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14245640640 in words is "fourteen billion, two hundred forty-five million, six hundred forty thousand, six hundred forty".