1533201440 has 96 divisors (see below), whose sum is σ = 3845484720. Its totient is φ = 575668224.

The previous prime is 1533201431. The next prime is 1533201443. The reversal of 1533201440 is 441023351.

It can be written as a sum of positive squares in 8 ways, for example, as 1249481104 + 283720336 = 35348^2 + 16844^2 .

It is not an unprimeable number, because it can be changed into a prime (1533201443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993376 + ... + 1994144.

Almost surely, 2^1533201440 is an apocalyptic number.

1533201440 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 1533201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922742360).

1533201440 is an abundant number, since it is smaller than the sum of its proper divisors (2312283280).

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

1533201440 is a wasteful number, since it uses less digits than its factorization.

1533201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1533201440 is about 39156.1162527644. The cubic root of 1533201440 is about 1153.0984972623.

Adding to 1533201440 its reverse (441023351), we get a palindrome (1974224791).

The spelling of 1533201440 in words is "one billion, five hundred thirty-three million, two hundred one thousand, four hundred forty".