14287328640 has 256 divisors, whose sum is σ = 54494193600. Its totient is φ = 3516825600.

The previous prime is 14287328621. The next prime is 14287328659. The reversal of 14287328640 is 4682378241.

It is a happy number.

14287328640 is a `hidden beast` number, since 1 + 4 + 287 + 328 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (14287328621) and next prime (14287328659).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192840 + ... + 256440.

Almost surely, 2^14287328640 is an apocalyptic number.

14287328640 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 14287328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27247096800).

14287328640 is an abundant number, since it is smaller than the sum of its proper divisors (40206864960).

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

14287328640 is a wasteful number, since it uses less digits than its factorization.

14287328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63642 (or 63624 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14287328640 in words is "fourteen billion, two hundred eighty-seven million, three hundred twenty-eight thousand, six hundred forty".