14489940000 has 480 divisors, whose sum is σ = 50078419776. Its totient is φ = 3663360000.

The previous prime is 14489939969. The next prime is 14489940013. The reversal of 14489940000 is 4998441.

14489940000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×14489940000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135419947 + ... + 135420053.

Almost surely, 2^14489940000 is an apocalyptic number.

14489940000 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 14489940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25039209888).

14489940000 is an abundant number, since it is smaller than the sum of its proper divisors (35588479776).

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

14489940000 is a wasteful number, since it uses less digits than its factorization.

14489940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 14489940000 in words is "fourteen billion, four hundred eighty-nine million, nine hundred forty thousand".