1130400441 has 20 divisors (see below), whose sum is σ = 1701529104. Its totient is φ = 747840600.

The previous prime is 1130400419. The next prime is 1130400487. The reversal of 1130400441 is 1440040311.

It is not a de Polignac number, because 1130400441 - 2¹⁷ = 1130269369 is a prime.

It is a super-3 number, since 3×1130400441³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130400841) 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 19 ways as a sum of consecutive naturals, for example, 42655 + ... + 63876.

Almost surely, 2^1130400441 is an apocalyptic number.

It is an amenable number.

1130400441 is a deficient number, since it is larger than the sum of its proper divisors (571128663).

1130400441 is a wasteful number, since it uses less digits than its factorization.

1130400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106674 (or 106665 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1130400441 is about 33621.4283010107. The cubic root of 1130400441 is about 1041.7034586201.

Adding to 1130400441 its reverse (1440040311), we get a palindrome (2570440752).

The spelling of 1130400441 in words is "one billion, one hundred thirty million, four hundred thousand, four hundred forty-one".