14324045400 has 768 divisors, whose sum is σ = 59460480000. Its totient is φ = 3100446720.

The previous prime is 14324045353. The next prime is 14324045467. The reversal of 14324045400 is 454042341.

It is a happy number.

14324045400 is a `hidden beast` number, since 14 + 3 + 240 + 4 + 5 + 400 = 666.

It is a super-2 number, since 2×14324045400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80022511 + ... + 80022689.

It is an arithmetic number, because the mean of its divisors is an integer number (77422500).

Almost surely, 2^14324045400 is an apocalyptic number.

14324045400 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 14324045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730240000).

14324045400 is an abundant number, since it is smaller than the sum of its proper divisors (45136434600).

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

14324045400 is a wasteful number, since it uses less digits than its factorization.

14324045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14324045400 its reverse (454042341), we get a palindrome (14778087741).

The spelling of 14324045400 in words is "fourteen billion, three hundred twenty-four million, forty-five thousand, four hundred".