14200995840 has 288 divisors, whose sum is σ = 47110242816. Its totient is φ = 3649044480.

The previous prime is 14200995833. The next prime is 14200995889. The reversal of 14200995840 is 4859900241.

It is a junction number, because it is equal to n+sod(n) for n = 14200995792 and 14200995801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60948364 + ... + 60948596.

It is an arithmetic number, because the mean of its divisors is an integer number (163577232).

Almost surely, 2^14200995840 is an apocalyptic number.

14200995840 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 14200995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23555121408).

14200995840 is an abundant number, since it is smaller than the sum of its proper divisors (32909246976).

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

14200995840 is an frugal number, since it uses more digits than its factorization.

14200995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 14200995840 in words is "fourteen billion, two hundred million, nine hundred ninety-five thousand, eight hundred forty".