14241920000 has 660 divisors, whose sum is σ = 47117092704. Its totient is φ = 4177920000.

The previous prime is 14241919973. The next prime is 14241920029. The reversal of 14241920000 is 2914241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 837759992 + ... + 837760008.

Almost surely, 2^14241920000 is an apocalyptic number.

14241920000 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 14241920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23558546352).

14241920000 is an abundant number, since it is smaller than the sum of its proper divisors (32875172704).

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

14241920000 is an equidigital number, since it uses as much as digits as its factorization.

14241920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 14241920000 in words is "fourteen billion, two hundred forty-one million, nine hundred twenty thousand".