14102869200 has 240 divisors, whose sum is σ = 51772222080. Its totient is φ = 3214632960.

The previous prime is 14102869169. The next prime is 14102869211. The reversal of 14102869200 is 296820141.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3332686 + ... + 3336914.

It is an arithmetic number, because the mean of its divisors is an integer number (215717592).

Almost surely, 2^14102869200 is an apocalyptic number.

14102869200 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 14102869200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25886111040).

14102869200 is an abundant number, since it is smaller than the sum of its proper divisors (37669352880).

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

14102869200 is a wasteful number, since it uses less digits than its factorization.

14102869200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 14102869200 in words is "fourteen billion, one hundred two million, eight hundred sixty-nine thousand, two hundred".