14002105200 has 120 divisors (see below), whose sum is σ = 45316193328. Its totient is φ = 3695370240.

The previous prime is 14002105193. The next prime is 14002105231. The reversal of 14002105200 is 250120041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14002105200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56254 + ... + 176546.

Almost surely, 2^14002105200 is an apocalyptic number.

14002105200 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 14002105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22658096664).

14002105200 is an abundant number, since it is smaller than the sum of its proper divisors (31314088128).

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

14002105200 is a wasteful number, since it uses less digits than its factorization.

14002105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120411 (or 120400 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14002105200 its reverse (250120041), we get a palindrome (14252225241).

The spelling of 14002105200 in words is "fourteen billion, two million, one hundred five thousand, two hundred".