1129075940 has 48 divisors (see below), whose sum is σ = 2433047232. Its totient is φ = 439883136.

The previous prime is 1129075933. The next prime is 1129075949. The reversal of 1129075940 is 495709211.

It is a junction number, because it is equal to n+sod(n) for n = 1129075894 and 1129075903.

It is not an unprimeable number, because it can be changed into a prime (1129075949) 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, 339767 + ... + 343073.

It is an arithmetic number, because the mean of its divisors is an integer number (50688484).

Almost surely, 2^1129075940 is an apocalyptic number.

1129075940 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 1129075940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216523616).

1129075940 is an abundant number, since it is smaller than the sum of its proper divisors (1303971292).

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

1129075940 is a wasteful number, since it uses less digits than its factorization.

1129075940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 1129075940 is about 33601.7252533259. The cubic root of 1129075940 is about 1041.2964416441.

The spelling of 1129075940 in words is "one billion, one hundred twenty-nine million, seventy-five thousand, nine hundred forty".