14141400 has 288 divisors, whose sum is σ = 56402640. Its totient is φ = 2903040.

The previous prime is 14141383. The next prime is 14141401. The reversal of 14141400 is 414141.

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 14141400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14141401) 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, 382182 + ... + 382218.

Almost surely, 2^14141400 is an apocalyptic number.

14141400 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 14141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28201320).

14141400 is an abundant number, since it is smaller than the sum of its proper divisors (42261240).

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

14141400 is a wasteful number, since it uses less digits than its factorization.

14141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 14141400 is about 3760.5052851977. The cubic root of 14141400 is about 241.8229244432.

Adding to 14141400 its reverse (414141), we get a palindrome (14555541).

It can be divided in two parts, 14141 and 400, that added together give a palindrome (14541).

The spelling of 14141400 in words is "fourteen million, one hundred forty-one thousand, four hundred".