14515430400 has 297 divisors, whose sum is σ = 52179993073. Its totient is φ = 3855360000.

The previous prime is 14515430393. The next prime is 14515430459. The reversal of 14515430400 is 403451541.

It is a happy number.

The square root of 14515430400 is 120480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5225554944 + 9289875456 = 72288^2 + 96384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57830275 + ... + 57830525.

Almost surely, 2^14515430400 is an apocalyptic number.

14515430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14515430400 is the 120480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14515430400

14515430400 is an abundant number, since it is smaller than the sum of its proper divisors (37664562673).

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

14515430400 is an equidigital number, since it uses as much as digits as its factorization.

14515430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 14515430400 its reverse (403451541), we get a palindrome (14918881941).

The spelling of 14515430400 in words is "fourteen billion, five hundred fifteen million, four hundred thirty thousand, four hundred".