1040760000 has 630 divisors, whose sum is σ = 4409854020. Its totient is φ = 233856000.

The previous prime is 1040759989. The next prime is 1040760041. The reversal of 1040760000 is 670401.

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 89 ways as a sum of consecutive naturals, for example, 17639971 + ... + 17640029.

Almost surely, 2^1040760000 is an apocalyptic number.

1040760000 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 1040760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204927010).

1040760000 is an abundant number, since it is smaller than the sum of its proper divisors (3369094020).

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

1040760000 is an equidigital number, since it uses as much as digits as its factorization.

1040760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1040760000 is about 32260.8121410482. The cubic root of 1040760000 is about 1013.4061389672.

It can be divided in two parts, 10407 and 60000, that added together give a palindrome (70407).

The spelling of 1040760000 in words is "one billion, forty million, seven hundred sixty thousand".