1533541440 has 112 divisors (see below), whose sum is σ = 5155460352. Its totient is φ = 384884736.

The previous prime is 1533541417. The next prime is 1533541469. The reversal of 1533541440 is 441453351.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1533541398 and 1533541407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30664 + ... + 63303.

It is an arithmetic number, because the mean of its divisors is an integer number (46030896).

Almost surely, 2^1533541440 is an apocalyptic number.

1533541440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1533541440 is an abundant number, since it is smaller than the sum of its proper divisors (3621918912).

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

1533541440 is a wasteful number, since it uses less digits than its factorization.

1533541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94004 (or 93994 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1533541440 is about 39160.4576071322. The cubic root of 1533541440 is about 1153.1837273136.

Adding to 1533541440 its reverse (441453351), we get a palindrome (1974994791).

The spelling of 1533541440 in words is "one billion, five hundred thirty-three million, five hundred forty-one thousand, four hundred forty".