1141535440 has 20 divisors (see below), whose sum is σ = 2654070084. Its totient is φ = 456614144.

The previous prime is 1141535429. The next prime is 1141535477. The reversal of 1141535440 is 445351411.

1141535440 is digitally balanced in base 6, 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 2 ways, for example, as 862244496 + 279290944 = 29364^2 + 16712^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1141535399 and 1141535408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7134517 + ... + 7134676.

Almost surely, 2^1141535440 is an apocalyptic number.

1141535440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141535440 is an abundant number, since it is smaller than the sum of its proper divisors (1512534644).

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

1141535440 is a wasteful number, since it uses less digits than its factorization.

1141535440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14269206 (or 14269200 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1141535440 is about 33786.6162851505. The cubic root of 1141535440 is about 1045.1127187768.

Adding to 1141535440 its reverse (445351411), we get a palindrome (1586886851).

The spelling of 1141535440 in words is "one billion, one hundred forty-one million, five hundred thirty-five thousand, four hundred forty".