14001984000 has 800 divisors, whose sum is σ = 54300136176. Its totient is φ = 3583180800.

The previous prime is 14001983987. The next prime is 14001984041. The reversal of 14001984000 is 48910041.

It can be written as a sum of positive squares in 8 ways, for example, as 2554695936 + 11447288064 = 50544^2 + 106992^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 191807964 + ... + 191808036.

Almost surely, 2^14001984000 is an apocalyptic number.

14001984000 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 14001984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27150068088).

14001984000 is an abundant number, since it is smaller than the sum of its proper divisors (40298152176).

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

14001984000 is an frugal number, since it uses more digits than its factorization.

14001984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 14001 and 984000, that added together give a square (998001 = 999²).

The spelling of 14001984000 in words is "fourteen billion, one million, nine hundred eighty-four thousand".