14214001200 has 240 divisors, whose sum is σ = 52771908096. Its totient is φ = 3203020800.

The previous prime is 14214001171. The next prime is 14214001247. The reversal of 14214001200 is 210041241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×14214001200² (a number of 21 digits) contains 22 as substring.

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 14214001200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584484 + ... + 608316.

Almost surely, 2^14214001200 is an apocalyptic number.

14214001200 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 14214001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26385954048).

14214001200 is an abundant number, since it is smaller than the sum of its proper divisors (38557906896).

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

14214001200 is a wasteful number, since it uses less digits than its factorization.

14214001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23932 (or 23921 counting only the distinct ones).

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

Adding to 14214001200 its reverse (210041241), we get a palindrome (14424042441).

The spelling of 14214001200 in words is "fourteen billion, two hundred fourteen million, one thousand, two hundred".