14071400 has 144 divisors (see below), whose sum is σ = 41143200. Its totient is φ = 4371840.

The previous prime is 14071399. The next prime is 14071403. The reversal of 14071400 is 417041.

14071400 = T₃₃₅ + T₃₃₆ + ... + T₄₉₅.

It is not an unprimeable number, because it can be changed into a prime (14071403) 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 35 ways as a sum of consecutive naturals, for example, 611789 + ... + 611811.

Almost surely, 2^14071400 is an apocalyptic number.

14071400 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 14071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20571600).

14071400 is an abundant number, since it is smaller than the sum of its proper divisors (27071800).

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

14071400 is a wasteful number, since it uses less digits than its factorization.

14071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 14071400 is about 3751.1864789690. The cubic root of 14071400 is about 241.4232560381.

Adding to 14071400 its reverse (417041), we get a palindrome (14488441).

The spelling of 14071400 in words is "fourteen million, seventy-one thousand, four hundred".