1155911040 has 256 divisors, whose sum is σ = 4130265600. Its totient is φ = 305510400.

The previous prime is 1155911017. The next prime is 1155911047. The reversal of 1155911040 is 401195511.

1155911040 is a `hidden beast` number, since 1 + 1 + 559 + 1 + 104 + 0 = 666.

It is a super-3 number, since 3×1155911040³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1155910995 and 1155911013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155911047) 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 31 ways as a sum of consecutive naturals, for example, 2609059 + ... + 2609501.

It is an arithmetic number, because the mean of its divisors is an integer number (16133850).

Almost surely, 2^1155911040 is an apocalyptic number.

1155911040 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 1155911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065132800).

1155911040 is an abundant number, since it is smaller than the sum of its proper divisors (2974354560).

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

1155911040 is a wasteful number, since it uses less digits than its factorization.

1155911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The square root of 1155911040 is about 33998.6917395361. The cubic root of 1155911040 is about 1049.4815399597.

The spelling of 1155911040 in words is "one billion, one hundred fifty-five million, nine hundred eleven thousand, forty".