14307254640 has 320 divisors, whose sum is σ = 56453529600. Its totient is φ = 3262519296.

The previous prime is 14307254639. The next prime is 14307254641. The reversal of 14307254640 is 4645270341.

14307254640 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 7 + 2 + 5 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (14307254639) and next prime (14307254641).

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 = 14307254595 and 14307254604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14307254641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8602449 + ... + 8604111.

It is an arithmetic number, because the mean of its divisors is an integer number (176417280).

Almost surely, 2^14307254640 is an apocalyptic number.

14307254640 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 14307254640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226764800).

14307254640 is an abundant number, since it is smaller than the sum of its proper divisors (42146274960).

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

14307254640 is a wasteful number, since it uses less digits than its factorization.

14307254640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 14307254640 in words is "fourteen billion, three hundred seven million, two hundred fifty-four thousand, six hundred forty".