14454212400 has 240 divisors, whose sum is σ = 51827114400. Its totient is φ = 3825930240.

The previous prime is 14454212359. The next prime is 14454212429. The reversal of 14454212400 is 421245441.

14454212400 is a `hidden beast` number, since 1 + 4 + 45 + 4 + 212 + 400 = 666.

14454212400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×14454212400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1474716 + ... + 1484484.

It is an arithmetic number, because the mean of its divisors is an integer number (215946310).

Almost surely, 2^14454212400 is an apocalyptic number.

14454212400 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 14454212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25913557200).

14454212400 is an abundant number, since it is smaller than the sum of its proper divisors (37372902000).

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

14454212400 is a wasteful number, since it uses less digits than its factorization.

14454212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9933 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14454212400 its reverse (421245441), we get a palindrome (14875457841).

The spelling of 14454212400 in words is "fourteen billion, four hundred fifty-four million, two hundred twelve thousand, four hundred".