14557214400 has 168 divisors, whose sum is σ = 47821321680. Its totient is φ = 3876925440.

The previous prime is 14557214389. The next prime is 14557214407. The reversal of 14557214400 is 441275541.

It is not an unprimeable number, because it can be changed into a prime (14557214407) 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, 5129782 + ... + 5132618.

Almost surely, 2^14557214400 is an apocalyptic number.

14557214400 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 14557214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23910660840).

14557214400 is an abundant number, since it is smaller than the sum of its proper divisors (33264107280).

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

14557214400 is a wasteful number, since it uses less digits than its factorization.

14557214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

Adding to 14557214400 its reverse (441275541), we get a palindrome (14998489941).

The spelling of 14557214400 in words is "fourteen billion, five hundred fifty-seven million, two hundred fourteen thousand, four hundred".