14401200 has 120 divisors (see below), whose sum is σ = 50371776. Its totient is φ = 3488000.

The previous prime is 14401187. The next prime is 14401201. The reversal of 14401200 is 210441.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14401200² = 414789122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (14401201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12655 + ... + 13745.

Almost surely, 2^14401200 is an apocalyptic number.

14401200 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 14401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25185888).

14401200 is an abundant number, since it is smaller than the sum of its proper divisors (35970576).

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

14401200 is a wasteful number, since it uses less digits than its factorization.

14401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14401200 is about 3794.8913027912. The cubic root of 14401200 is about 243.2948376374.

Adding to 14401200 its reverse (210441), we get a palindrome (14611641).

It can be divided in two parts, 1440 and 1200, that multiplied together give a cube (1728000 = 120³).

The spelling of 14401200 in words is "fourteen million, four hundred one thousand, two hundred".