1425600144 has 120 divisors (see below), whose sum is σ = 4237061400. Its totient is φ = 445906944.

The previous prime is 1425600103. The next prime is 1425600151. The reversal of 1425600144 is 4410065241.

1425600144 is a `hidden beast` number, since 1 + 42 + 5 + 600 + 14 + 4 = 666.

1425600144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 958521600 + 467078544 = 30960^2 + 21612^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098504 + ... + 1099800.

It is an arithmetic number, because the mean of its divisors is an integer number (35308845).

Almost surely, 2^1425600144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1425600144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118530700).

1425600144 is an abundant number, since it is smaller than the sum of its proper divisors (2811461256).

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

1425600144 is a wasteful number, since it uses less digits than its factorization.

1425600144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1768 counting only the distinct ones).

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

The square root of 1425600144 is about 37757.1204410506. The cubic root of 1425600144 is about 1125.4665111146.

Adding to 1425600144 its reverse (4410065241), we get a palindrome (5835665385).

The spelling of 1425600144 in words is "one billion, four hundred twenty-five million, six hundred thousand, one hundred forty-four".