14428665820800 has 2304 divisors, whose sum is σ = 66843801722880. Its totient is φ = 2985685401600.

The previous prime is 14428665820753. The next prime is 14428665820813. The reversal of 14428665820800 is 802856682441.

14428665820800 is a `hidden beast` number, since 1 + 4 + 428 + 6 + 6 + 5 + 8 + 208 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23770454097 + ... + 23770454703.

It is an arithmetic number, because the mean of its divisors is an integer number (29012066720).

Almost surely, 2^{14428665820800} is an apocalyptic number.

14428665820800 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 14428665820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33421900861440).

14428665820800 is an abundant number, since it is smaller than the sum of its proper divisors (52415135902080).

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

14428665820800 is a wasteful number, since it uses less digits than its factorization.

14428665820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 14428665820800 in words is "fourteen trillion, four hundred twenty-eight billion, six hundred sixty-five million, eight hundred twenty thousand, eight hundred".