14428975841280 has 4800 divisors, whose sum is σ = 74011687948800. Its totient is φ = 2621932830720.

The previous prime is 14428975841263. The next prime is 14428975841297. The reversal of 14428975841280 is 8214857982441.

14428975841280 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 8 + 97 + 58 + 412 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (14428975841263) and next prime (14428975841297).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 759419781111 + ... + 759419781129.

It is an arithmetic number, because the mean of its divisors is an integer number (15419101656).

Almost surely, 2^{14428975841280} is an apocalyptic number.

14428975841280 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 14428975841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37005843974400).

14428975841280 is an abundant number, since it is smaller than the sum of its proper divisors (59582712107520).

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

14428975841280 is an equidigital number, since it uses as much as digits as its factorization.

14428975841280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 14428975841280 in words is "fourteen trillion, four hundred twenty-eight billion, nine hundred seventy-five million, eight hundred forty-one thousand, two hundred eighty".