14013040032200 has 288 divisors, whose sum is σ = 36897376619880. Its totient is φ = 4942569984000.

The previous prime is 14013040032181. The next prime is 14013040032203. The reversal of 14013040032200 is 223004031041.

It can be written as a sum of positive squares in 12 ways, for example, as 1337432112676 + 12675607919524 = 1156474^2 + 3560282^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14013040032203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171609782 + ... + 171691418.

Almost surely, 2^{14013040032200} is an apocalyptic number.

14013040032200 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 14013040032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448688309940).

14013040032200 is an abundant number, since it is smaller than the sum of its proper divisors (22884336587680).

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

14013040032200 is a wasteful number, since it uses less digits than its factorization.

14013040032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81889 (or 81869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14013040032200 its reverse (223004031041), we get a palindrome (14236044063241).

The spelling of 14013040032200 in words is "fourteen trillion, thirteen billion, forty million, thirty-two thousand, two hundred".