1129679040 has 224 divisors, whose sum is σ = 4277928960. Its totient is φ = 246951936.

The previous prime is 1129679039. The next prime is 1129679059. The reversal of 1129679040 is 409769211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1129679040.

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 31 ways as a sum of consecutive naturals, for example, 150906 + ... + 158214.

Almost surely, 2^1129679040 is an apocalyptic number.

1129679040 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 1129679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138964480).

1129679040 is an abundant number, since it is smaller than the sum of its proper divisors (3148249920).

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

1129679040 is a wasteful number, since it uses less digits than its factorization.

1129679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1129679040 is about 33610.6982968221. The cubic root of 1129679040 is about 1041.4818127302.

The spelling of 1129679040 in words is "one billion, one hundred twenty-nine million, six hundred seventy-nine thousand, forty".