14026966800 has 960 divisors, whose sum is σ = 59516190720. Its totient is φ = 2739456000.

The previous prime is 14026966763. The next prime is 14026966817. The reversal of 14026966800 is 866962041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168999559 + ... + 168999641.

It is an arithmetic number, because the mean of its divisors is an integer number (61996032).

Almost surely, 2^14026966800 is an apocalyptic number.

14026966800 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 14026966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758095360).

14026966800 is an abundant number, since it is smaller than the sum of its proper divisors (45489223920).

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

14026966800 is a wasteful number, since it uses less digits than its factorization.

14026966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 14026966800 in words is "fourteen billion, twenty-six million, nine hundred sixty-six thousand, eight hundred".