14201964000 has 864 divisors, whose sum is σ = 59949935136. Its totient is φ = 3173990400.

The previous prime is 14201963989. The next prime is 14201964053. The reversal of 14201964000 is 46910241.

14201964000 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 19 + 640 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146411952 + ... + 146412048.

It is an arithmetic number, because the mean of its divisors is an integer number (69386499).

Almost surely, 2^14201964000 is an apocalyptic number.

14201964000 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 14201964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29974967568).

14201964000 is an abundant number, since it is smaller than the sum of its proper divisors (45747971136).

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

14201964000 is a wasteful number, since it uses less digits than its factorization.

14201964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 14201964000 in words is "fourteen billion, two hundred one million, nine hundred sixty-four thousand".