14221004400 has 180 divisors, whose sum is σ = 49406316960. Its totient is φ = 3788006400.

The previous prime is 14221004393. The next prime is 14221004431. The reversal of 14221004400 is 440012241.

14221004400 is a `hidden beast` number, since 1 + 4 + 221 + 0 + 0 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×14221004400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4429996 + ... + 4433204.

Almost surely, 2^14221004400 is an apocalyptic number.

14221004400 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 14221004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24703158480).

14221004400 is an abundant number, since it is smaller than the sum of its proper divisors (35185312560).

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

14221004400 is a wasteful number, since it uses less digits than its factorization.

14221004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14221004400 its reverse (440012241), we get a palindrome (14661016641).

The spelling of 14221004400 in words is "fourteen billion, two hundred twenty-one million, four thousand, four hundred".