1040729960 has 64 divisors (see below), whose sum is σ = 2427570000. Its totient is φ = 401078272.

The previous prime is 1040729951. The next prime is 1040729971. The reversal of 1040729960 is 699270401.

It can be written as a sum of positive squares in 8 ways, for example, as 345142084 + 695587876 = 18578^2 + 26374^2 .

It is an unprimeable number.

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, 937886 + ... + 938994.

Almost surely, 2^1040729960 is an apocalyptic number.

1040729960 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 1040729960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213785000).

1040729960 is an abundant number, since it is smaller than the sum of its proper divisors (1386840040).

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

1040729960 is a wasteful number, since it uses less digits than its factorization.

1040729960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 1040729960 is about 32260.3465573450. The cubic root of 1040729960 is about 1013.3963887163.

The spelling of 1040729960 in words is "one billion, forty million, seven hundred twenty-nine thousand, nine hundred sixty".