14132003600 has 240 divisors, whose sum is σ = 40278047040. Its totient is φ = 4697241600.

The previous prime is 14132003563. The next prime is 14132003617. The reversal of 14132003600 is 630023141.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6119246 + ... + 6121554.

It is an arithmetic number, because the mean of its divisors is an integer number (167825196).

Almost surely, 2^14132003600 is an apocalyptic number.

14132003600 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 14132003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139023520).

14132003600 is an abundant number, since it is smaller than the sum of its proper divisors (26146043440).

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

14132003600 is a wasteful number, since it uses less digits than its factorization.

14132003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 14132003600 its reverse (630023141), we get a palindrome (14762026741).

The spelling of 14132003600 in words is "fourteen billion, one hundred thirty-two million, three thousand, six hundred".