14285030400 has 495 divisors, whose sum is σ = 53540764981. Its totient is φ = 3763445760.

The previous prime is 14285030377. The next prime is 14285030401. The reversal of 14285030400 is 403058241.

The square root of 14285030400 is 119520.

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., 5142610944 + 9142419456 = 71712^2 + 95616^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14285030401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 172108759 + ... + 172108841.

Almost surely, 2^14285030400 is an apocalyptic number.

14285030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14285030400 is the 119520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14285030400

14285030400 is an abundant number, since it is smaller than the sum of its proper divisors (39255734581).

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

14285030400 is an frugal number, since it uses more digits than its factorization.

14285030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14285030400 its reverse (403058241), we get a palindrome (14688088641).

The spelling of 14285030400 in words is "fourteen billion, two hundred eighty-five million, thirty thousand, four hundred".