14004100 has 72 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 4905600.

The previous prime is 14004091. The next prime is 14004103. The reversal of 14004100 is 140041.

It is a super-2 number, since 2×14004100² = 392229633620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (14004103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31681 + ... + 32119.

It is an arithmetic number, because the mean of its divisors is an integer number (477400).

Almost surely, 2^14004100 is an apocalyptic number.

14004100 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 14004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

14004100 is an abundant number, since it is smaller than the sum of its proper divisors (20368700).

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

14004100 is a wasteful number, since it uses less digits than its factorization.

14004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14004100 is about 3742.2052322127. The cubic root of 14004100 is about 241.0377517004.

Adding to 14004100 its reverse (140041), we get a palindrome (14144141).

Multiplying 14004100 by its reverse (140041), we get a square (1961148168100 = 1400410²).

14004100 divided by its reverse (140041) gives a square (100 = 10²).

The spelling of 14004100 in words is "fourteen million, four thousand, one hundred".